30880 (number)

30880 is an even five-digits composite number following 30879 and preceding 30881. In scientific notation, it is written as 3.088 × 104. The sum of its digits is 19. It has a total of 7 prime factors and 24 positive divisors. There are 12,288 positive integers (up to 30880) that are relatively prime to 30880.

Basic properties

• Is Prime? no
• Number parity even
• Number length 5
• Sum of Digits 19
• Digital Root 1

Name

Name thirty thousand eight hundred eighty

Notation

Scientific notation 3.088 × 104 30.88 × 103

Prime Factorization of 30880

Prime Factorization 25 × 5 × 193

Composite number
Distinct Factors Total Factors Radical ω 3 Total number of distinct prime factors Ω 7 Total number of prime factors rad 1930 Product of the distinct prime numbers λ -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 30880 is 25 × 5 × 193. Since it has a total of 7 prime factors, 30880 is a composite number.

Divisors of 30880

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 193, 386, 772, 965, 1544, 1930, 3088, 3860, 6176, 7720, 15440, 30880

24 divisors

 Even divisors 20 4 4 0
Total Divisors Sum of Divisors Aliquot Sum τ 24 Total number of the positive divisors of n σ 73332 Sum of all the positive divisors of n s 42452 Sum of the proper positive divisors of n A 3055.5 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G 175.727 Returns the nth root of the product of n divisors H 10.1064 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 30880 can be divided by 24 positive divisors (out of which 20 are even, and 4 are odd). The sum of these divisors (counting 30880) is 73332, the average is 3055.5.

Other Arithmetic Functions (n = 30880)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ 12288 Total number of positive integers not greater than n that are coprime to n λ 192 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π ≈ 3334 Total number of primes less than or equal to n r2 16 The number of ways n can be represented as the sum of 2 squares

There are 12,288 positive integers (less than 30880) that are coprime with 30880. And there are approximately 3,334 prime numbers less than or equal to 30880.

Divisibility of 30880

m n mod m
2 0
3 1
4 0
5 0
6 4
7 3
8 0
9 1

The number 30880 is divisible by 2, 4, 5 and 8.

• Abundant

• Polite
• Practical

Base conversion 30880

Base System Value
2 Binary 111100010100000
3 Ternary 1120100201
4 Quaternary 13202200
5 Quinary 1442010
6 Senary 354544
8 Octal 74240
10 Decimal 30880
12 Duodecimal 15a54
20 Vigesimal 3h40
36 Base36 nts

Basic calculations (n = 30880)

Multiplication

n×y
 n×2 61760 92640 123520 154400

Division

n÷y
 n÷2 15440 10293.3 7720 6176

Exponentiation

ny
 n2 953574400 29446377472000 909304136335360000 28079311730035916800000

Nth Root

y√n
 2√n 175.727 31.3732 13.2562 7.90561

30880 as geometric shapes

Circle

 Diameter 61760 194025 2.99574e+09

Sphere

 Volume 1.23345e+14 1.1983e+10 194025

Square

Length = n
 Perimeter 123520 9.53574e+08 43670.9

Cube

Length = n
 Surface area 5.72145e+09 2.94464e+13 53485.7

Equilateral Triangle

Length = n
 Perimeter 92640 4.1291e+08 26742.9

Triangular Pyramid

Length = n
 Surface area 1.65164e+09 3.47029e+12 25213.4

Cryptographic Hash Functions

md5 f27900bdac7a82614a4931f309704d69 8e6468ff86158b0a7dcdd5e2fe5229c362c64b57 e67755704402332294469128be9844d9d028b4e0cf18ab8096bd72279ea36218 37ba221c13e7aace34ca4656609a19f3a1e638c9771957ee9b7b400c608c44f1d1d31209ffd521aec1bf6b46f2bd46778e309f9ceb013ae14987a7a8d95ee386 581557db947f14640c23f62c7a371797ce5c77ed
The provided text passage is a detailed mathematical description of the number 30880, including its properties, prime factorization, divisors, and various arithmetic functions. It does not contain any specific questions or problems to solve.
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system
30880 (number)

30880 is an even five-digits composite number following 30879 and preceding 30881. In scientific notation, it is written as 3.088 × 104. The sum of its digits is 19. It has a total of 7 prime factors and 24 positive divisors. There are 12,288 positive integers (up to 30880) that are relatively prime to 30880.

Basic properties

• Is Prime? no
• Number parity even
• Number length 5
• Sum of Digits 19
• Digital Root 1

Name

Name thirty thousand eight hundred eighty

Notation

Scientific notation 3.088 × 104 30.88 × 103

Prime Factorization of 30880

Prime Factorization 25 × 5 × 193

Composite number
Distinct Factors Total Factors Radical ω 3 Total number of distinct prime factors Ω 7 Total number of prime factors rad 1930 Product of the distinct prime numbers λ -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 30880 is 25 × 5 × 193. Since it has a total of 7 prime factors, 30880 is a composite number.

Divisors of 30880

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 193, 386, 772, 965, 1544, 1930, 3088, 3860, 6176, 7720, 15440, 30880

24 divisors

 Even divisors 20 4 4 0
Total Divisors Sum of Divisors Aliquot Sum τ 24 Total number of the positive divisors of n σ 73332 Sum of all the positive divisors of n s 42452 Sum of the proper positive divisors of n A 3055.5 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G 175.727 Returns the nth root of the product of n divisors H 10.1064 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 30880 can be divided by 24 positive divisors (out of which 20 are even, and 4 are odd). The sum of these divisors (counting 30880) is 73332, the average is 3055.5.

Other Arithmetic Functions (n = 30880)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ 12288 Total number of positive integers not greater than n that are coprime to n λ 192 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π ≈ 3334 Total number of primes less than or equal to n r2 16 The number of ways n can be represented as the sum of 2 squares

There are 12,288 positive integers (less than 30880) that are coprime with 30880. And there are approximately 3,334 prime numbers less than or equal to 30880.

Divisibility of 30880

m n mod m
2 0
3 1
4 0
5 0
6 4
7 3
8 0
9 1

The number 30880 is divisible by 2, 4, 5 and 8.

• Abundant

• Polite
• Practical

Base conversion 30880

Base System Value
2 Binary 111100010100000
3 Ternary 1120100201
4 Quaternary 13202200
5 Quinary 1442010
6 Senary 354544
8 Octal 74240
10 Decimal 30880
12 Duodecimal 15a54
20 Vigesimal 3h40
36 Base36 nts

Basic calculations (n = 30880)

Multiplication

n×y
 n×2 61760 92640 123520 154400

Division

n÷y
 n÷2 15440 10293.3 7720 6176

Exponentiation

ny
 n2 953574400 29446377472000 909304136335360000 28079311730035916800000

Nth Root

y√n
 2√n 175.727 31.3732 13.2562 7.90561

30880 as geometric shapes

Circle

 Diameter 61760 194025 2.99574e+09

Sphere

 Volume 1.23345e+14 1.1983e+10 194025

Square

Length = n
 Perimeter 123520 9.53574e+08 43670.9

Cube

Length = n
 Surface area 5.72145e+09 2.94464e+13 53485.7

Equilateral Triangle

Length = n
 Perimeter 92640 4.1291e+08 26742.9

Triangular Pyramid

Length = n
 Surface area 1.65164e+09 3.47029e+12 25213.4

Cryptographic Hash Functions

md5 f27900bdac7a82614a4931f309704d69 8e6468ff86158b0a7dcdd5e2fe5229c362c64b57 e67755704402332294469128be9844d9d028b4e0cf18ab8096bd72279ea36218 37ba221c13e7aace34ca4656609a19f3a1e638c9771957ee9b7b400c608c44f1d1d31209ffd521aec1bf6b46f2bd46778e309f9ceb013ae14987a7a8d95ee386 581557db947f14640c23f62c7a371797ce5c77ed
user
The provided text passage is a detailed mathematical description of the number 30880, including its properties, prime factorization, divisors, and various arithmetic functions. It does not contain any specific questions or problems to solve.

TYPE: NO_QUESTION