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325513764 = 2232312972
BaseRepresentation
bin10011011001101…
…111001000100100
3211200111210221100
4103121233020210
51131312420024
652144520100
711031551502
oct2331571044
9750453840
10325513764
11157820344
1291020030
1352591ac4
1431335672
151d89d7c9
hex1366f224

325513764 has 81 divisors (see below), whose sum is σ = 859081041. Its totient is φ = 103921920.

The previous prime is 325513759. The next prime is 325513787. The reversal of 325513764 is 467315523.

The square root of 325513764 is 18042.

It is a perfect power (a square), and thus also a powerful number.

325513764 is a `hidden beast` number, since 32 + 551 + 3 + 76 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146168100 + 179345664 = 12090^2 + 13392^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3355764 + ... + 3355860.

Almost surely, 2325513764 is an apocalyptic number.

325513764 is the 18042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325513764

325513764 is an abundant number, since it is smaller than the sum of its proper divisors (533567277).

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

325513764 is a wasteful number, since it uses less digits than its factorization.

325513764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The cubic root of 325513764 is about 687.8965304331.

Multiplying 325513764 by its sum of digits (36), we get a square (11718495504 = 1082522).

325513764 divided by its sum of digits (36) gives a square (9042049 = 30072).

It can be divided in two parts, 32551 and 3764, that added together give a triangular number (36315 = T269).

The spelling of 325513764 in words is "three hundred twenty-five million, five hundred thirteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 97 124 186 194 279 291 372 388 558 582 873 961 1116 1164 1746 1922 2883 3007 3492 3844 5766 6014 8649 9021 9409 11532 12028 17298 18042 18818 27063 28227 34596 36084 37636 54126 56454 84681 93217 108252 112908 169362 186434 279651 291679 338724 372868 559302 583358 838953 875037 1118604 1166716 1677906 1750074 2625111 3355812 3500148 5250222 9042049 10500444 18084098 27126147 36168196 54252294 81378441 108504588 162756882 325513764