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331434312 = 233111773849
BaseRepresentation
bin10011110000010…
…100100101001000
3212002122121101220
4103300110211020
51134321344222
652515442040
711133100536
oct2360244510
9762577356
10331434312
111600a4560
1292bb6320
13538858a1
1432037156
151e16cb5c
hex13c14948

331434312 has 64 divisors (see below), whose sum is σ = 957096000. Its totient is φ = 94525440.

The previous prime is 331434307. The next prime is 331434331. The reversal of 331434312 is 213434133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32437 + ... + 41412.

It is an arithmetic number, because the mean of its divisors is an integer number (14954625).

Almost surely, 2331434312 is an apocalyptic number.

It is an amenable number.

331434312 is an abundant number, since it is smaller than the sum of its proper divisors (625661688).

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

331434312 is a wasteful number, since it uses less digits than its factorization.

331434312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73886 (or 73882 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 331434312 is about 18205.3374591080. The cubic root of 331434312 is about 692.0420580984.

Adding to 331434312 its reverse (213434133), we get a palindrome (544868445).

The spelling of 331434312 in words is "three hundred thirty-one million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 73849 147698 221547 295396 443094 590792 812339 886188 1255433 1624678 1772376 2437017 2510866 3249356 3766299 4874034 5021732 6498712 7532598 9748068 10043464 13809763 15065196 19496136 27619526 30130392 41429289 55239052 82858578 110478104 165717156 331434312