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325255968 = 253217312143
BaseRepresentation
bin10011011000110…
…000001100100000
3211200000201022100
4103120300030200
51131231142333
652135210400
711026426062
oct2330601440
9750021270
10325255968
11157664694
1290b16a00
135250166b
14312a9732
151d84c213
hex13630320

325255968 has 144 divisors (see below), whose sum is σ = 1011419136. Its totient is φ = 98703360.

The previous prime is 325255921. The next prime is 325255991. The reversal of 325255968 is 869552523.

325255968 is a `hidden beast` number, since 3 + 2 + 52 + 5 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150705 + ... + 152847.

It is an arithmetic number, because the mean of its divisors is an integer number (7023744).

Almost surely, 2325255968 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 325255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505709568).

325255968 is an abundant number, since it is smaller than the sum of its proper divisors (686163168).

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

325255968 is a wasteful number, since it uses less digits than its factorization.

325255968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2196 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 325255968 is about 18034.8542550252. The cubic root of 325255968 is about 687.7148854674.

The spelling of 325255968 in words is "three hundred twenty-five million, two hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 408 496 527 544 558 612 744 816 992 1054 1116 1224 1488 1581 1632 2108 2143 2232 2448 2976 3162 4216 4286 4464 4743 4896 6324 6429 8432 8572 8928 9486 12648 12858 16864 17144 18972 19287 25296 25716 34288 36431 37944 38574 50592 51432 66433 68576 72862 75888 77148 102864 109293 132866 145724 151776 154296 199299 205728 218586 265732 291448 308592 327879 398598 437172 531464 582896 597897 617184 655758 797196 874344 1062928 1129361 1165792 1195794 1311516 1594392 1748688 2125856 2258722 2391588 2623032 3188784 3388083 3497376 4517444 4783176 5246064 6377568 6776166 9034888 9566352 10164249 10492128 13552332 18069776 19132704 20328498 27104664 36139552 40656996 54209328 81313992 108418656 162627984 325255968