Is 3480 an abundant number and what is its abundance?

Is 3480 an abundant number?

Here we will explain and calculate if 3480 is an abundant number and its abundance if applicable.

3480 is an abundant number if the sum of its proper divisors is greater than 3480.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 29 + 30 + 40 + 58 + 60 + 87 + 116 + 120 + 145 + 174 + 232 + 290 + 348 + 435 + 580 + 696 + 870 + 1160 + 1740 = 7320.

7320 is greater than 3480. Therefore, 3480 is an abundant number.

The abundance of 3480 is the sum of its proper divisors minus 3480. Thus, the abundance of 3480 is 7320 - 3480 = 3840

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