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34657713 = 341725169
BaseRepresentation
bin1000010000110…
…1010110110001
32102012210110000
42010031112301
532333021323
63234500213
7600404616
oct204152661
972183400
1034657713
1118621942
12b734669
13724602c
14486250d
153098e43
hex210d5b1

34657713 has 20 divisors (see below), whose sum is σ = 54820260. Its totient is φ = 21745152.

The previous prime is 34657687. The next prime is 34657723. The reversal of 34657713 is 31775643.

It can be written as a sum of positive squares in 2 ways, for example, as 17740944 + 16916769 = 4212^2 + 4113^2 .

It is not a de Polignac number, because 34657713 - 25 = 34657681 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34657723) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11208 + ... + 13961.

It is an arithmetic number, because the mean of its divisors is an integer number (2741013).

Almost surely, 234657713 is an apocalyptic number.

It is an amenable number.

34657713 is a deficient number, since it is larger than the sum of its proper divisors (20162547).

34657713 is a wasteful number, since it uses less digits than its factorization.

34657713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25198 (or 25189 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 34657713 is about 5887.0801761145. The cubic root of 34657713 is about 326.0368087962.

The spelling of 34657713 in words is "thirty-four million, six hundred fifty-seven thousand, seven hundred thirteen".

Divisors: 1 3 9 17 27 51 81 153 459 1377 25169 75507 226521 427873 679563 1283619 2038689 3850857 11552571 34657713