Is 3240 an abundant number and what is its abundance?

Is 3240 an abundant number?

Here we will explain and calculate if 3240 is an abundant number and its abundance if applicable.

3240 is an abundant number if the sum of its proper divisors is greater than 3240.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 54 + 60 + 72 + 81 + 90 + 108 + 120 + 135 + 162 + 180 + 216 + 270 + 324 + 360 + 405 + 540 + 648 + 810 + 1080 + 1620 = 7650.

7650 is greater than 3240. Therefore, 3240 is an abundant number.

The abundance of 3240 is the sum of its proper divisors minus 3240. Thus, the abundance of 3240 is 7650 - 3240 = 4410

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