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34129403 = 711538363
BaseRepresentation
bin1000001000110…
…0010111111011
32101012221201222
42002030113323
532214120103
63215302255
7563044430
oct202142773
971187658
1034129403
11182a0a20
12b51a98b
1370bc719
144765b87
152ee2638
hex208c5fb

34129403 has 16 divisors (see below), whose sum is σ = 43358976. Its totient is φ = 26089440.

The previous prime is 34129399. The next prime is 34129409. The reversal of 34129403 is 30492143.

34129403 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34129403 - 22 = 34129399 is a prime.

It is a super-2 number, since 2×341294032 = 2329632298272818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34129409) 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 15 ways as a sum of consecutive naturals, for example, 101 + ... + 8262.

It is an arithmetic number, because the mean of its divisors is an integer number (2709936).

Almost surely, 234129403 is an apocalyptic number.

34129403 is a deficient number, since it is larger than the sum of its proper divisors (9229573).

34129403 is a wasteful number, since it uses less digits than its factorization.

34129403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 34129403 is about 5842.0375726282. The cubic root of 34129403 is about 324.3716553895.

The spelling of 34129403 in words is "thirty-four million, one hundred twenty-nine thousand, four hundred three".

Divisors: 1 7 11 53 77 371 583 4081 8363 58541 91993 443239 643951 3102673 4875629 34129403