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57346704 = 243444249
BaseRepresentation
bin1101101011000…
…0101010010000
310222220111220000
43122300222100
5104140043304
65405050000
71264303362
oct332605220
9128814800
1057346704
112a409478
1217256900
13bb5b37c
14788ad32
15507b939
hex36b0a90

57346704 has 50 divisors (see below), whose sum is σ = 165981750. Its totient is φ = 19115136.

The previous prime is 57346699. The next prime is 57346711. The reversal of 57346704 is 40764375.

It can be written as a sum of positive squares in only one way, i.e., 31945104 + 25401600 = 5652^2 + 5040^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 20829 + ... + 23420.

It is an arithmetic number, because the mean of its divisors is an integer number (3319635).

Almost surely, 257346704 is an apocalyptic number.

57346704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57346704 is an abundant number, since it is smaller than the sum of its proper divisors (108635046).

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

57346704 is a wasteful number, since it uses less digits than its factorization.

57346704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44269 (or 44254 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 57346704 is about 7572.7606590992. The cubic root of 57346704 is about 385.6288233936.

The spelling of 57346704 in words is "fifty-seven million, three hundred forty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 44249 88498 132747 176996 265494 353992 398241 530988 707984 796482 1061976 1194723 1592964 2123952 2389446 3185928 3584169 4778892 6371856 7168338 9557784 14336676 19115568 28673352 57346704