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57345369 = 317732211
BaseRepresentation
bin1101101011000…
…0010101011001
310222220110001120
43122300111121
5104140022434
65405035453
71264266444
oct332602531
9128813046
1057345369
112a408474
1217255b89
13bb5a893
14788a65b
15507b349
hex36b0559

57345369 has 24 divisors (see below), whose sum is σ = 82471392. Its totient is φ = 35320320.

The previous prime is 57345361. The next prime is 57345373. The reversal of 57345369 is 96354375.

57345369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57345369 - 23 = 57345361 is a prime.

It is a super-2 number, since 2×573453692 = 6576982691492322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57345369.

It is not an unprimeable number, because it can be changed into a prime (57345361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 271674 + ... + 271884.

It is an arithmetic number, because the mean of its divisors is an integer number (3436308).

Almost surely, 257345369 is an apocalyptic number.

It is an amenable number.

57345369 is a deficient number, since it is larger than the sum of its proper divisors (25126023).

57345369 is a wasteful number, since it uses less digits than its factorization.

57345369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 304 counting only the distinct ones).

The product of its digits is 340200, while the sum is 42.

The square root of 57345369 is about 7572.6725137167. The cubic root of 57345369 is about 385.6258309608.

The spelling of 57345369 in words is "fifty-seven million, three hundred forty-five thousand, three hundred sixty-nine".

Divisors: 1 3 17 51 73 211 219 633 1241 3587 3723 5329 10761 15403 15987 46209 90593 261851 271779 785553 1124419 3373257 19115123 57345369