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34076857 = 172611933
BaseRepresentation
bin1000000111111…
…1100010111001
32101010021122211
42001333202321
532210424412
63214215121
7562435303
oct201774271
971107584
1034076857
11182654a1
12b4b44a1
1370a1829
144750973
152ed1ca7
hex207f8b9

34076857 has 12 divisors (see below), whose sum is σ = 36811756. Its totient is φ = 31530240.

The previous prime is 34076849. The next prime is 34076881. The reversal of 34076857 is 75867043.

It can be written as a sum of positive squares in 6 ways, for example, as 251001 + 33825856 = 501^2 + 5816^2 .

It is not a de Polignac number, because 34076857 - 23 = 34076849 is a prime.

It is a super-3 number, since 3×340768573 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34076837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16663 + ... + 18595.

Almost surely, 234076857 is an apocalyptic number.

It is an amenable number.

34076857 is a deficient number, since it is larger than the sum of its proper divisors (2734899).

34076857 is a wasteful number, since it uses less digits than its factorization.

34076857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 34076857 is about 5837.5386080094. The cubic root of 34076857 is about 324.2051011747.

The spelling of 34076857 in words is "thirty-four million, seventy-six thousand, eight hundred fifty-seven".

Divisors: 1 17 61 289 1037 1933 17629 32861 117913 558637 2004521 34076857