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34132007 = 713834519
BaseRepresentation
bin1000001000110…
…1000000100111
32101020002022102
42002031000213
532214211012
63215322315
7563055140
oct202150047
971202272
1034132007
11182a2978
12b52039b
1370c0970
144766ac7
152ee32c2
hex208d027

34132007 has 16 divisors (see below), whose sum is σ = 42524160. Its totient is φ = 26674272.

The previous prime is 34132003. The next prime is 34132009. The reversal of 34132007 is 70023143.

It is a cyclic number.

It is not a de Polignac number, because 34132007 - 22 = 34132003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34132007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5294 + ... + 9812.

It is an arithmetic number, because the mean of its divisors is an integer number (2657760).

Almost surely, 234132007 is an apocalyptic number.

34132007 is a deficient number, since it is larger than the sum of its proper divisors (8392153).

34132007 is a wasteful number, since it uses less digits than its factorization.

34132007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 34132007 is about 5842.2604358245. The cubic root of 34132007 is about 324.3799047995.

The spelling of 34132007 in words is "thirty-four million, one hundred thirty-two thousand, seven".

Divisors: 1 7 13 83 91 581 1079 4519 7553 31633 58747 375077 411229 2625539 4876001 34132007