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329023264 = 2561732309
BaseRepresentation
bin10011100111000…
…111111100100000
3211221010010001211
4103213013330200
51133212221024
652352035504
711103436333
oct2347077440
9757103054
10329023264
111597a8059
1292232b94
135322032b
14319aa61a
151dd43594
hex139c7f20

329023264 has 48 divisors (see below), whose sum is σ = 667691640. Its totient is φ = 159528960.

The previous prime is 329023223. The next prime is 329023291. The reversal of 329023264 is 462320923.

It can be written as a sum of positive squares in 4 ways, for example, as 259467664 + 69555600 = 16108^2 + 8340^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141342 + ... + 143650.

Almost surely, 2329023264 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 329023264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333845820).

329023264 is an abundant number, since it is smaller than the sum of its proper divisors (338668376).

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

329023264 is a wasteful number, since it uses less digits than its factorization.

329023264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 329023264 is about 18138.9984287998. The cubic root of 329023264 is about 690.3598654917.

The spelling of 329023264 in words is "three hundred twenty-nine million, twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 73 122 146 244 292 488 584 976 1168 1952 2309 2336 4453 4618 8906 9236 17812 18472 35624 36944 71248 73888 140849 142496 168557 281698 337114 563396 674228 1126792 1348456 2253584 2696912 4507168 5393824 10281977 20563954 41127908 82255816 164511632 329023264