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331290936 = 23327363031
BaseRepresentation
bin10011101111110…
…001100100111000
3212002101022201200
4103233301210320
51134302302221
652512414200
711131632534
oct2357614470
9762338650
10331290936
11160006869
1292b47360
1353835552
1431ddabc4
151e140426
hex13bf1938

331290936 has 48 divisors (see below), whose sum is σ = 909551760. Its totient is φ = 108915840.

The previous prime is 331290923. The next prime is 331290937. The reversal of 331290936 is 639092133.

It is a happy number.

331290936 is a `hidden beast` number, since 331 + 290 + 9 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 331290936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331290937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26260 + ... + 36771.

It is an arithmetic number, because the mean of its divisors is an integer number (18948995).

Almost surely, 2331290936 is an apocalyptic number.

331290936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

331290936 is an abundant number, since it is smaller than the sum of its proper divisors (578260824).

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

331290936 is a wasteful number, since it uses less digits than its factorization.

331290936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63116 (or 63109 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 331290936 is about 18201.3992868680. The cubic root of 331290936 is about 691.9422529691.

The spelling of 331290936 in words is "three hundred thirty-one million, two hundred ninety thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 63031 126062 189093 252124 378186 504248 567279 756372 1134558 1512744 2269116 4538232 4601263 9202526 13803789 18405052 27607578 36810104 41411367 55215156 82822734 110430312 165645468 331290936