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331370104 = 231315121101
BaseRepresentation
bin10011110000000…
…100111001111000
3212002112100022211
4103300010321320
51134312320404
652514224504
711132412412
oct2360047170
9762470284
10331370104
1116006029a
1292b85134
13538625b0
143201b9b2
151e158b04
hex13c04e78

331370104 has 32 divisors (see below), whose sum is σ = 673575840. Its totient is φ = 151920000.

The previous prime is 331370087. The next prime is 331370147. The reversal of 331370104 is 401073133.

It is a happy number.

It is a super-2 number, since 2×3313701042 = 219612291649941632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 5154 + ... + 26254.

It is an arithmetic number, because the mean of its divisors is an integer number (21049245).

Almost surely, 2331370104 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 331370104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336787920).

331370104 is an abundant number, since it is smaller than the sum of its proper divisors (342205736).

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

331370104 is a wasteful number, since it uses less digits than its factorization.

331370104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21271 (or 21267 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 331370104 is about 18203.5739348074. The cubic root of 331370104 is about 691.9973659784.

The spelling of 331370104 in words is "three hundred thirty-one million, three hundred seventy thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 104 151 302 604 1208 1963 3926 7852 15704 21101 42202 84404 168808 274313 548626 1097252 2194504 3186251 6372502 12745004 25490008 41421263 82842526 165685052 331370104