Is 2340 an abundant number and what is its abundance?

Is 2340 an abundant number?

Here we will explain and calculate if 2340 is an abundant number and its abundance if applicable.

2340 is an abundant number if the sum of its proper divisors is greater than 2340.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 26 + 30 + 36 + 39 + 45 + 52 + 60 + 65 + 78 + 90 + 117 + 130 + 156 + 180 + 195 + 234 + 260 + 390 + 468 + 585 + 780 + 1170 = 5304.

5304 is greater than 2340. Therefore, 2340 is an abundant number.

The abundance of 2340 is the sum of its proper divisors minus 2340. Thus, the abundance of 2340 is 5304 - 2340 = 2964

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