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329960 = 23573113
BaseRepresentation
bin1010000100011101000
3121202121202
41100203220
541024320
611023332
72542661
oct1204350
9552552
10329960
112059a4
1213ab48
13b7257
1488368
1567b75
hex508e8

329960 has 32 divisors (see below), whose sum is σ = 759240. Its totient is φ = 129024.

The previous prime is 329957. The next prime is 329969. The reversal of 329960 is 69923.

It can be written as a sum of positive squares in 4 ways, for example, as 174724 + 155236 = 418^2 + 394^2 .

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

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, 2864 + ... + 2976.

2329960 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 329960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379620).

329960 is an abundant number, since it is smaller than the sum of its proper divisors (429280).

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

329960 is a wasteful number, since it uses less digits than its factorization.

329960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 329960 is about 574.4214480675. The cubic root of 329960 is about 69.1014400971.

The spelling of 329960 in words is "three hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 113 146 226 292 365 452 565 584 730 904 1130 1460 2260 2920 4520 8249 16498 32996 41245 65992 82490 164980 329960