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330296352 = 25316072141
BaseRepresentation
bin10011101011111…
…110110000100000
3212000111210102020
4103223332300200
51134023440402
652435221440
711120321061
oct2353766040
9760453366
10330296352
1115a4975a1
1292747880
1353577939
1431c1c568
151dee58bc
hex13afec20

330296352 has 48 divisors (see below), whose sum is σ = 867972672. Its totient is φ = 109978880.

The previous prime is 330296303. The next prime is 330296359. The reversal of 330296352 is 253692033.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (330296359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153202 + ... + 155342.

It is an arithmetic number, because the mean of its divisors is an integer number (18082764).

Almost surely, 2330296352 is an apocalyptic number.

330296352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330296352 is an abundant number, since it is smaller than the sum of its proper divisors (537676320).

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

330296352 is a wasteful number, since it uses less digits than its factorization.

330296352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 330296352 is about 18174.0571144695. The cubic root of 330296352 is about 691.2491214876.

The spelling of 330296352 in words is "three hundred thirty million, two hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1607 2141 3214 4282 4821 6423 6428 8564 9642 12846 12856 17128 19284 25692 25712 34256 38568 51384 51424 68512 77136 102768 154272 205536 3440587 6881174 10321761 13762348 20643522 27524696 41287044 55049392 82574088 110098784 165148176 330296352