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327041568 = 25327315233
BaseRepresentation
bin10011011111100…
…100001000100000
3211210101102200200
4103133210020200
51132210312233
652241345200
711050543650
oct2337441040
9753342620
10327041568
11158674197
1291638200
13529a8329
1431612360
151daa1313
hex137e4220

327041568 has 144 divisors (see below), whose sum is σ = 1097381376. Its totient is φ = 90408960.

The previous prime is 327041567. The next prime is 327041587. The reversal of 327041568 is 865140723.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (327041567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59880 + ... + 65112.

It is an arithmetic number, because the mean of its divisors is an integer number (7620704).

Almost surely, 2327041568 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 327041568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548690688).

327041568 is an abundant number, since it is smaller than the sum of its proper divisors (770339808).

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

327041568 is a wasteful number, since it uses less digits than its factorization.

327041568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 327041568 is about 18084.2906413274. The cubic root of 327041568 is about 688.9710688102.

The spelling of 327041568 in words is "three hundred twenty-seven million, forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 5233 6944 7812 8928 10416 10466 15624 15699 20832 20932 31248 31398 36631 41864 47097 62496 62796 73262 83728 94194 109893 125592 146524 162223 167456 188388 219786 251184 293048 324446 329679 376776 439572 486669 502368 586096 648892 659358 753552 879144 973338 1135561 1172192 1297784 1318716 1460007 1507104 1758288 1946676 2271122 2595568 2637432 2920014 3406683 3516576 3893352 4542244 5191136 5274864 5840028 6813366 7786704 9084488 10220049 10549728 11680056 13626732 15573408 18168976 20440098 23360112 27253464 36337952 40880196 46720224 54506928 81760392 109013856 163520784 327041568