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325521680 = 245111919469
BaseRepresentation
bin10011011001110…
…001000100010000
3211200112012210112
4103121301010100
51131313143210
652145020452
711031613541
oct2331610420
9750465715
10325521680
11157826290
1291024728
13525955a3
14313384c8
151d8a0d05
hex13671110

325521680 has 80 divisors (see below), whose sum is σ = 869140800. Its totient is φ = 112135680.

The previous prime is 325521667. The next prime is 325521689. The reversal of 325521680 is 86125523.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (325521689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6986 + ... + 26454.

It is an arithmetic number, because the mean of its divisors is an integer number (10864260).

Almost surely, 2325521680 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 325521680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434570400).

325521680 is an abundant number, since it is smaller than the sum of its proper divisors (543619120).

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

325521680 is a wasteful number, since it uses less digits than its factorization.

325521680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19512 (or 19506 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 325521680 is about 18042.2193756755. The cubic root of 325521680 is about 687.9021065873.

The spelling of 325521680 in words is "three hundred twenty-five million, five hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 19469 38938 77876 97345 155752 194690 214159 311504 369911 389380 428318 739822 778760 856636 1070795 1479644 1557520 1713272 1849555 2141590 2959288 3426544 3699110 4069021 4283180 5918576 7398220 8138042 8566360 14796440 16276084 17132720 20345105 29592880 32552168 40690210 65104336 81380420 162760840 325521680