Search a number
5346 = 23511
BaseRepresentation
bin1010011100010
321100000
41103202
5132341
640430
721405
oct12342
97300
105346
114020
123116
132583
141d3c
1518b6
hex14e2

5346 has 24 divisors (see below), whose sum is σ = 13104. Its totient is φ = 1620.

The previous prime is 5333. The next prime is 5347. The reversal of 5346 is 6435.

Adding to 5346 its reverse (6435), we get a triangular number (11781 = T153).

Subtracting 5346 from its reverse (6435), we obtain a square (1089 = 332).

It can be divided in two parts, 53 and 46, that added together give a palindrome (99).

It is a happy number.

5346 is a Gilda number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3 and base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5346.

It is not an unprimeable number, because it can be changed into a prime (5347) by changing a digit.

5346 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

25346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552).

5346 is an abundant number, since it is smaller than the sum of its proper divisors (7758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5346 is a wasteful number, since it uses less digits than its factorization.

5346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 16 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 5346 is about 73.1163456417. The cubic root of 5346 is about 17.4854300498.

The spelling of 5346 in words is "five thousand, three hundred forty-six".
The text passage provides a detailed mathematical description of the number 5346, including its properties, divisors, and various representations in different bases. It also includes some interesting facts and trivia about the number.
no_question

the passage does not contain any explicit mathematical questions or word problems that require solving. it is purely informational.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
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system
Search a number
5346 = 23511
BaseRepresentation
bin1010011100010
321100000
41103202
5132341
640430
721405
oct12342
97300
105346
114020
123116
132583
141d3c
1518b6
hex14e2

5346 has 24 divisors (see below), whose sum is σ = 13104. Its totient is φ = 1620.

The previous prime is 5333. The next prime is 5347. The reversal of 5346 is 6435.

Adding to 5346 its reverse (6435), we get a triangular number (11781 = T153).

Subtracting 5346 from its reverse (6435), we obtain a square (1089 = 332).

It can be divided in two parts, 53 and 46, that added together give a palindrome (99).

It is a happy number.

5346 is a Gilda number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3 and base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5346.

It is not an unprimeable number, because it can be changed into a prime (5347) by changing a digit.

5346 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

25346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552).

5346 is an abundant number, since it is smaller than the sum of its proper divisors (7758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5346 is a wasteful number, since it uses less digits than its factorization.

5346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 16 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 5346 is about 73.1163456417. The cubic root of 5346 is about 17.4854300498.

The spelling of 5346 in words is "five thousand, three hundred forty-six".
user
The text passage provides a detailed mathematical description of the number 5346, including its properties, divisors, and various representations in different bases. It also includes some interesting facts and trivia about the number.

TYPE: NO_QUESTION

The passage does not contain any explicit mathematical questions or word problems that require solving. It is purely informational.