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3482416 = 247173159
BaseRepresentation
bin1101010010001100110000
320112220222101
431102030300
51342414131
6202350144
741412550
oct15221460
96486871
103482416
111a69433
1211bb354
1394c102
14669160
1548bc61
hex352330

3482416 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 1336320.

The previous prime is 3482411. The next prime is 3482443. The reversal of 3482416 is 6142843.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3482411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58995 + ... + 59053.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 23482416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3482416 is an abundant number, since it is smaller than the sum of its proper divisors (5088464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3482416 is a wasteful number, since it uses less digits than its factorization.

3482416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 3482416 is about 1866.1232542359. The cubic root of 3482416 is about 151.5747578778.

The spelling of 3482416 in words is "three million, four hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 59 62 68 112 118 119 124 136 217 236 238 248 272 413 434 472 476 496 527 826 868 944 952 1003 1054 1652 1736 1829 1904 2006 2108 3304 3472 3658 3689 4012 4216 6608 7021 7316 7378 8024 8432 12803 14042 14632 14756 16048 25606 28084 29264 29512 31093 51212 56168 59024 62186 102424 112336 124372 204848 217651 248744 435302 497488 870604 1741208 3482416