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330566328 = 233216072857
BaseRepresentation
bin10011101101000…
…000101010111000
3212001000111202100
4103231000222320
51134111110303
652445103400
711122524141
oct2355005270
9761014670
10330566328
1115a661414
1292857b60
13536407a1
1431c8cac8
151e04a8a3
hex13b40ab8

330566328 has 48 divisors (see below), whose sum is σ = 896154480. Its totient is φ = 110081664.

The previous prime is 330566323. The next prime is 330566359. The reversal of 330566328 is 823665033.

It is a happy number.

330566328 is a nontrivial binomial coefficient, being equal to C(25713, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 330566292 and 330566301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330566323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114276 + ... + 117132.

It is an arithmetic number, because the mean of its divisors is an integer number (18669885).

Almost surely, 2330566328 is an apocalyptic number.

330566328 is the 25712-nd triangular number.

It is an amenable number.

330566328 is an abundant number, since it is smaller than the sum of its proper divisors (565588152).

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

330566328 is a wasteful number, since it uses less digits than its factorization.

330566328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 330566328 is about 18181.4831078215. The cubic root of 330566328 is about 691.4374067940.

The spelling of 330566328 in words is "three hundred thirty million, five hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1607 2857 3214 4821 5714 6428 8571 9642 11428 12856 14463 17142 19284 22856 25713 28926 34284 38568 51426 57852 68568 102852 115704 205704 4591199 9182398 13773597 18364796 27547194 36729592 41320791 55094388 82641582 110188776 165283164 330566328