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34857 = 331291
BaseRepresentation
bin1000100000101001
31202211000
420200221
52103412
6425213
7203424
oct104051
952730
1034857
1124209
1218209
1312b34
14c9bb
15a4dc
hex8829

34857 has 8 divisors (see below), whose sum is σ = 51680. Its totient is φ = 23220.

The previous prime is 34849. The next prime is 34871. The reversal of 34857 is 75843.

It is not a de Polignac number, because 34857 - 23 = 34849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1291 = 34857 / (3 + 4 + 8 + 5 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34857.

It is not an unprimeable number, because it can be changed into a prime (34807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (6460).

234857 is an apocalyptic number.

It is an amenable number.

34857 is a deficient number, since it is larger than the sum of its proper divisors (16823).

34857 is a wasteful number, since it uses less digits than its factorization.

34857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 34857 is about 186.7002945900. The cubic root of 34857 is about 32.6660534847. Note that the first 3 decimals are identical.

The spelling of 34857 in words is "thirty-four thousand, eight hundred fifty-seven".

Divisors: 1 3 9 27 1291 3873 11619 34857