Is 3420 an abundant number and what is its abundance?

Is 3420 an abundant number?

Here we will explain and calculate if 3420 is an abundant number and its abundance if applicable.

3420 is an abundant number if the sum of its proper divisors is greater than 3420.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 19 + 20 + 30 + 36 + 38 + 45 + 57 + 60 + 76 + 90 + 95 + 114 + 171 + 180 + 190 + 228 + 285 + 342 + 380 + 570 + 684 + 855 + 1140 + 1710 = 7500.

7500 is greater than 3420. Therefore, 3420 is an abundant number.

The abundance of 3420 is the sum of its proper divisors minus 3420. Thus, the abundance of 3420 is 7500 - 3420 = 4080

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