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329034376 = 231110934303
BaseRepresentation
bin10011100111001…
…010101010001000
3211221010200022101
4103213022222020
51133213100001
652352203144
711103513616
oct2347125210
9757120271
10329034376
11159805440
12922394b4
13532253c8
14319b06b6
151dd46a01
hex139caa88

329034376 has 32 divisors (see below), whose sum is σ = 679219200. Its totient is φ = 148184640.

The previous prime is 329034359. The next prime is 329034383. The reversal of 329034376 is 673430923.

329034376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7560 + ... + 26743.

It is an arithmetic number, because the mean of its divisors is an integer number (21225600).

Almost surely, 2329034376 is an apocalyptic number.

It is an amenable number.

329034376 is an abundant number, since it is smaller than the sum of its proper divisors (350184824).

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

329034376 is a wasteful number, since it uses less digits than its factorization.

329034376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34429 (or 34425 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 37.

The square root of 329034376 is about 18139.3047275798. The cubic root of 329034376 is about 690.3676371737.

The spelling of 329034376 in words is "three hundred twenty-nine million, thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 88 109 218 436 872 1199 2398 4796 9592 34303 68606 137212 274424 377333 754666 1509332 3018664 3739027 7478054 14956108 29912216 41129297 82258594 164517188 329034376