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204572328 = 233431671187
BaseRepresentation
bin11000011000110…
…00011010101000
3112020221100110220
430030120122220
5404332303303
632144410040
75032556532
oct1414303250
9466840426
10204572328
11a5526244
1258616920
13334c851c
141d252852
1512e5e053
hexc3186a8

204572328 has 64 divisors (see below), whose sum is σ = 526901760. Its totient is φ = 66150336.

The previous prime is 204572323. The next prime is 204572359. The reversal of 204572328 is 823275402.

204572328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204572323) 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, 171751 + ... + 172937.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2204572328 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 204572328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

204572328 is an abundant number, since it is smaller than the sum of its proper divisors (322329432).

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

204572328 is a wasteful number, since it uses less digits than its factorization.

204572328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 204572328 is about 14302.8783117245. The cubic root of 204572328 is about 589.2265341005.

The spelling of 204572328 in words is "two hundred four million, five hundred seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 167 172 258 334 344 501 516 668 1002 1032 1187 1336 2004 2374 3561 4008 4748 7122 7181 9496 14244 14362 21543 28488 28724 43086 51041 57448 86172 102082 153123 172344 198229 204164 306246 396458 408328 594687 612492 792916 1189374 1224984 1585832 2378748 4757496 8523847 17047694 25571541 34095388 51143082 68190776 102286164 204572328