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34129879 = 734714051
BaseRepresentation
bin1000001000110…
…0011111010111
32101012222101121
42002030133113
532214124004
63215304411
7563046010
oct202143727
971188347
1034129879
11182a1313
12b51b107
1370bc9c4
144766007
152ee2854
hex208c7d7

34129879 has 8 divisors (see below), whose sum is σ = 39120768. Its totient is φ = 29167800.

The previous prime is 34129859. The next prime is 34129891. The reversal of 34129879 is 97892143.

34129879 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34129879 - 25 = 34129847 is a prime.

It is a super-3 number, since 3×341298793 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34129859) 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 7 ways as a sum of consecutive naturals, for example, 4597 + ... + 9454.

It is an arithmetic number, because the mean of its divisors is an integer number (4890096).

Almost surely, 234129879 is an apocalyptic number.

34129879 is a deficient number, since it is larger than the sum of its proper divisors (4990889).

34129879 is a wasteful number, since it uses less digits than its factorization.

34129879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14405.

The product of its digits is 108864, while the sum is 43.

The square root of 34129879 is about 5842.0783116970. The cubic root of 34129879 is about 324.3731633775.

The spelling of 34129879 in words is "thirty-four million, one hundred twenty-nine thousand, eight hundred seventy-nine".

Divisors: 1 7 347 2429 14051 98357 4875697 34129879