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329912 = 231123163
BaseRepresentation
bin1010000100010111000
3121202112222
41100202320
541024122
611023212
72542562
oct1204270
9552488
10329912
11205960
1213ab08
13b721b
1488332
1567b42
hex508b8

329912 has 32 divisors (see below), whose sum is σ = 708480. Its totient is φ = 142560.

The previous prime is 329899. The next prime is 329941. The reversal of 329912 is 219923.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1943 + ... + 2105.

It is an arithmetic number, because the mean of its divisors is an integer number (22140).

2329912 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 329912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354240).

329912 is an abundant number, since it is smaller than the sum of its proper divisors (378568).

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

329912 is a wasteful number, since it uses less digits than its factorization.

329912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 329912 is about 574.3796653782. The cubic root of 329912 is about 69.0980891556.

The spelling of 329912 in words is "three hundred twenty-nine thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 163 184 253 326 506 652 1012 1304 1793 2024 3586 3749 7172 7498 14344 14996 29992 41239 82478 164956 329912