A number of people are arranged in a hollow three-tiered square. Now adjust the formation to reduce the outermost layer by 16 people on each side. The number of layers is changed from the original three layers to six layers. How many people are there in this square array?
有若干人排成一个空心三层方阵，现调整阵型，把最外层每边减少16人，层数由原来三层变六层，问这个方阵一共有多少人？
<gadget id="calculator">16 * 6 * 4</gadget>
<output>384</output>

<gadget id="calculator">6 * 6 * 4</gadget>
<output>144</output>

<gadget id="calculator">3 * 3 * 4</gadget>
<output>36</output>

<gadget id="calculator">144 - 36</gadget>
<output>108</output>

<gadget id="calculator">384 + 108</gadget>
<output>492</output>

<gadget id="calculator">6 * 4</gadget>
<output>24</output>

<gadget id="calculator">3 * 4</gadget>
<output>12</output>

<gadget id="calculator">24 - 12</gadget>
<output>12</output>

<gadget id="calculator">492 / 12</gadget>
<output>41</output>

<gadget id="calculator">41 - 3</gadget>
<output>38</output>

<gadget id="calculator">38 * 3 * 4</gadget>
<output>456</output>

<result>456</result>