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74270688 = 2531722677
BaseRepresentation
bin1000110110101…
…00011111100000
312011202100020020
410123110133200
5123003130223
611211513440
71561201422
oct433243740
9164670206
1074270688
1138a18738
1220a58880
131250566b
149c14812
1567c11e3
hex46d47e0

74270688 has 72 divisors (see below), whose sum is σ = 207180792. Its totient is φ = 23291904.

The previous prime is 74270681. The next prime is 74270701. The reversal of 74270688 is 88607247.

It is a super-2 number, since 2×742706882 = 11032270191986688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74270681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26406 + ... + 29082.

It is an arithmetic number, because the mean of its divisors is an integer number (2877511).

Almost surely, 274270688 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 74270688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103590396).

74270688 is an abundant number, since it is smaller than the sum of its proper divisors (132910104).

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

74270688 is a wasteful number, since it uses less digits than its factorization.

74270688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 74270688 is about 8618.0443257157. The cubic root of 74270688 is about 420.3449320607.

The spelling of 74270688 in words is "seventy-four million, two hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 2677 3468 4624 5354 6936 8031 9248 10708 13872 16062 21416 27744 32124 42832 45509 64248 85664 91018 128496 136527 182036 256992 273054 364072 546108 728144 773653 1092216 1456288 1547306 2184432 2320959 3094612 4368864 4641918 6189224 9283836 12378448 18567672 24756896 37135344 74270688