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331129364 = 22181601761
BaseRepresentation
bin10011101111001…
…010001000010100
3212002002010002112
4103233022020110
51134232114424
652505130152
711130360506
oct2357121024
9762063075
10331129364
1115aa06435
1292a89958
13537a9b47
1431d97d76
151e10c60e
hex13bca214

331129364 has 24 divisors (see below), whose sum is σ = 584414376. Its totient is φ = 164160000.

The previous prime is 331129339. The next prime is 331129373. The reversal of 331129364 is 463921133.

It can be written as a sum of positive squares in 4 ways, for example, as 5326864 + 325802500 = 2308^2 + 18050^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 331129364.

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, 434744 + ... + 435504.

It is an arithmetic number, because the mean of its divisors is an integer number (24350599).

Almost surely, 2331129364 is an apocalyptic number.

It is an amenable number.

331129364 is a deficient number, since it is larger than the sum of its proper divisors (253285012).

331129364 is a wasteful number, since it uses less digits than its factorization.

331129364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1545 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 331129364 is about 18196.9602956098. The cubic root of 331129364 is about 691.8297469496.

The spelling of 331129364 in words is "three hundred thirty-one million, one hundred twenty-nine thousand, three hundred sixty-four".

Divisors: 1 2 4 181 362 601 724 761 1202 1522 2404 3044 108781 137741 217562 275482 435124 457361 550964 914722 1829444 82782341 165564682 331129364