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23256324 = 223271331229
BaseRepresentation
bin101100010110…
…1110100000100
31121202112200100
41120231310010
521423200244
62150244100
7401450460
oct130556404
947675610
1023256324
1112144903
127956630
134a83650
1431354a0
152095b69
hex162dd04

23256324 has 144 divisors (see below), whose sum is σ = 75013120. Its totient is φ = 5909760.

The previous prime is 23256319. The next prime is 23256371. The reversal of 23256324 is 42365232.

23256324 is a `hidden beast` number, since 2 + 3 + 25 + 632 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101442 + ... + 101670.

Almost surely, 223256324 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 23256324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37506560).

23256324 is an abundant number, since it is smaller than the sum of its proper divisors (51756796).

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

23256324 is a wasteful number, since it uses less digits than its factorization.

23256324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 23256324 is about 4822.4811041620. The cubic root of 23256324 is about 285.4392488026.

It can be divided in two parts, 2325 and 6324, that added together give a square (8649 = 932).

The spelling of 23256324 in words is "twenty-three million, two hundred fifty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 229 234 252 273 279 364 372 403 434 458 468 546 558 651 687 806 819 868 916 1092 1116 1209 1302 1374 1603 1612 1638 1953 2061 2418 2604 2748 2821 2977 3206 3276 3627 3906 4122 4809 4836 5642 5954 6412 7099 7254 7812 8244 8463 8931 9618 11284 11908 14198 14427 14508 16926 17862 19236 20839 21297 25389 26793 28396 28854 33852 35724 41678 42594 49693 50778 53586 57708 62517 63891 83356 85188 92287 99386 101556 107172 125034 127782 149079 184574 187551 198772 250068 255564 276861 298158 369148 375102 447237 553722 596316 646009 750204 830583 894474 1107444 1292018 1661166 1788948 1938027 2584036 3322332 3876054 5814081 7752108 11628162 23256324