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329964 = 22331887
BaseRepresentation
bin1010000100011101100
3121202121220
41100203230
541024324
611023340
72542665
oct1204354
9552556
10329964
112059a8
1213ab50
13b725b
148836c
1567b79
hex508ec

329964 has 24 divisors (see below), whose sum is σ = 795648. Its totient is φ = 106320.

The previous prime is 329957. The next prime is 329969. The reversal of 329964 is 469923.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (329969) by changing a digit.

329964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (33152).

2329964 is an apocalyptic number.

It is an amenable number.

329964 is an abundant number, since it is smaller than the sum of its proper divisors (465684).

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

329964 is a wasteful number, since it uses less digits than its factorization.

329964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 329964 is about 574.4249298211. The cubic root of 329964 is about 69.1017193276.

The spelling of 329964 in words is "three hundred twenty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 887 1774 2661 3548 5322 10644 27497 54994 82491 109988 164982 329964