Is 3360 an abundant number and what is its abundance?

Is 3360 an abundant number?

Here we will explain and calculate if 3360 is an abundant number and its abundance if applicable.

3360 is an abundant number if the sum of its proper divisors is greater than 3360.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 40 + 42 + 48 + 56 + 60 + 70 + 80 + 84 + 96 + 105 + 112 + 120 + 140 + 160 + 168 + 210 + 224 + 240 + 280 + 336 + 420 + 480 + 560 + 672 + 840 + 1120 + 1680 = 8736.

8736 is greater than 3360. Therefore, 3360 is an abundant number.

The abundance of 3360 is the sum of its proper divisors minus 3360. Thus, the abundance of 3360 is 8736 - 3360 = 5376

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