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329480514 = 233111573533
BaseRepresentation
bin10011101000110…
…111100101000010
3211221222100022000
4103220313211002
51133321334024
652405524430
711110352406
oct2350674502
9757870260
10329480514
11159a8a650
1292413716
13533504ac
1431a89106
151ddd3cc9
hex13a37942

329480514 has 64 divisors (see below), whose sum is σ = 804055680. Its totient is φ = 99178560.

The previous prime is 329480477. The next prime is 329480521. The reversal of 329480514 is 415084923.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91492 + ... + 95024.

It is an arithmetic number, because the mean of its divisors is an integer number (12563370).

Almost surely, 2329480514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329480514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402027840).

329480514 is an abundant number, since it is smaller than the sum of its proper divisors (474575166).

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

329480514 is a wasteful number, since it uses less digits than its factorization.

329480514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 329480514 is about 18151.5981114612. The cubic root of 329480514 is about 690.6795196178.

The spelling of 329480514 in words is "three hundred twenty-nine million, four hundred eighty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 157 198 297 314 471 594 942 1413 1727 2826 3454 3533 4239 5181 7066 8478 10362 10599 15543 21198 31086 31797 38863 46629 63594 77726 93258 95391 116589 190782 233178 349767 554681 699534 1049301 1109362 1664043 2098602 3328086 4992129 6101491 9984258 12202982 14976387 18304473 29952774 36608946 54913419 109826838 164740257 329480514