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34134309979 = 7211173725233
BaseRepresentation
bin11111110010100100…
…000011110001011011
310021002212201121110221
4133302210003301123
51024401340404404
623403040420511
72315610563500
oct376244036133
9107085647427
1034134309979
1113526a23340
126747617737
1332aca80c73
14191b5614a7
15d4ba7e954
hex7f2903c5b

34134309979 has 24 divisors (see below), whose sum is σ = 45865081008. Its totient is φ = 25033559040.

The previous prime is 34134309977. The next prime is 34134310031. The reversal of 34134309979 is 97990343143.

It is not a de Polignac number, because 34134309979 - 21 = 34134309977 is a prime.

It is a super-2 number, since 2×341343099792 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34134309977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1853454 + ... + 1871779.

It is an arithmetic number, because the mean of its divisors is an integer number (1911045042).

Almost surely, 234134309979 is an apocalyptic number.

34134309979 is a deficient number, since it is larger than the sum of its proper divisors (11730771029).

34134309979 is a wasteful number, since it uses less digits than its factorization.

34134309979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725275 (or 3725268 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 52.

The spelling of 34134309979 in words is "thirty-four billion, one hundred thirty-four million, three hundred nine thousand, nine hundred seventy-nine".

Divisors: 1 7 11 17 49 77 119 187 539 833 1309 9163 3725233 26076631 40977563 63328961 182536417 286842941 443302727 696618571 2007900587 3103119089 4876329997 34134309979