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3688104 = 233729757
BaseRepresentation
bin1110000100011010101000
320221101010110
432010122220
51421004404
6211014320
743230330
oct16043250
96841113
103688104
112099a22
12129a3a0
139c1914
146c00c0
154ccb89
hex3846a8

3688104 has 64 divisors (see below), whose sum is σ = 10915200. Its totient is φ = 1016064.

The previous prime is 3688093. The next prime is 3688117. The reversal of 3688104 is 4018863.

It is a happy number.

It is a super-2 number, since 2×36881042 = 27204222229632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4494 + ... + 5250.

It is an arithmetic number, because the mean of its divisors is an integer number (170550).

Almost surely, 23688104 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 3688104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457600).

3688104 is an abundant number, since it is smaller than the sum of its proper divisors (7227096).

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

3688104 is a wasteful number, since it uses less digits than its factorization.

3688104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3688104 is about 1920.4436987321. The cubic root of 3688104 is about 154.5020998657.

The spelling of 3688104 in words is "three million, six hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 757 812 1218 1514 1624 2271 2436 3028 4542 4872 5299 6056 9084 10598 15897 18168 21196 21953 31794 42392 43906 63588 65859 87812 127176 131718 153671 175624 263436 307342 461013 526872 614684 922026 1229368 1844052 3688104