Is 3456 an abundant number and what is its abundance?

Is 3456 an abundant number?

Here we will explain and calculate if 3456 is an abundant number and its abundance if applicable.

3456 is an abundant number if the sum of its proper divisors is greater than 3456.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 32 + 36 + 48 + 54 + 64 + 72 + 96 + 108 + 128 + 144 + 192 + 216 + 288 + 384 + 432 + 576 + 864 + 1152 + 1728 = 6744.

6744 is greater than 3456. Therefore, 3456 is an abundant number.

The abundance of 3456 is the sum of its proper divisors minus 3456. Thus, the abundance of 3456 is 6744 - 3456 = 3288

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