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104361264 = 2433734511
BaseRepresentation
bin1100011100001…
…10110100110000
321021101002202000
412032012310300
5203204030024
614204454000
72405025150
oct616066460
9237332660
10104361264
1153a00187
122ab4a300
131880c937
14dc08760
159266cc9
hex6386d30

104361264 has 80 divisors (see below), whose sum is σ = 342359040. Its totient is φ = 29816640.

The previous prime is 104361259. The next prime is 104361289. The reversal of 104361264 is 462163401.

104361264 is a `hidden beast` number, since 1 + 0 + 43 + 612 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 14232 + ... + 20279.

It is an arithmetic number, because the mean of its divisors is an integer number (4279488).

Almost surely, 2104361264 is an apocalyptic number.

104361264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104361264 is an abundant number, since it is smaller than the sum of its proper divisors (237997776).

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

104361264 is a wasteful number, since it uses less digits than its factorization.

104361264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34535 (or 34523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104361264 is about 10215.7360968263. The cubic root of 104361264 is about 470.8108291399.

The spelling of 104361264 in words is "one hundred four million, three hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 34511 69022 103533 138044 207066 241577 276088 310599 414132 483154 552176 621198 724731 828264 931797 966308 1242396 1449462 1656528 1863594 1932616 2174193 2484792 2898924 3727188 3865232 4348386 4969584 5797848 6522579 7454376 8696772 11595696 13045158 14908752 17393544 26090316 34787088 52180632 104361264