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331347564 = 223319116063
BaseRepresentation
bin10011101111111…
…111011001101100
3212002111012102000
4103233333121230
51134311110224
652513532300
711132256612
oct2357773154
9762435360
10331347564
11160045369
1292b74090
1353855262
14320136b2
151e1520c9
hex13bff66c

331347564 has 48 divisors (see below), whose sum is σ = 863600640. Its totient is φ = 109864080.

The previous prime is 331347563. The next prime is 331347607. The reversal of 331347564 is 465743133.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (331347563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12597 + ... + 28659.

It is an arithmetic number, because the mean of its divisors is an integer number (17991680).

Almost surely, 2331347564 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 331347564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431800320).

331347564 is an abundant number, since it is smaller than the sum of its proper divisors (532253076).

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

331347564 is a wasteful number, since it uses less digits than its factorization.

331347564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16267 (or 16259 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 331347564 is about 18202.9548150843. The cubic root of 331347564 is about 691.9816755926.

The spelling of 331347564 in words is "three hundred thirty-one million, three hundred forty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3438 5157 6876 10314 16063 20628 32126 48189 64252 96378 144567 192756 289134 433701 578268 867402 1734804 3068033 6136066 9204099 12272132 18408198 27612297 36816396 55224594 82836891 110449188 165673782 331347564