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34246129379 = 71110316072687
BaseRepresentation
bin11111111001001110…
…100111011011100011
310021101200010121212012
4133321032213123203
51030114002120004
623422113223135
72321436203540
oct377116473343
9107350117765
1034246129379
1113584057970
126778b61aab
1332c9ca24a7
14192c34bbc7
15d567bb46e
hex7f93a76e3

34246129379 has 32 divisors (see below), whose sum is σ = 43153883136. Its totient is φ = 26399941920.

The previous prime is 34246129369. The next prime is 34246129387. The reversal of 34246129379 is 97392164243.

It is not a de Polignac number, because 34246129379 - 216 = 34246063843 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (34246129369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12743774 + ... + 12746460.

It is an arithmetic number, because the mean of its divisors is an integer number (1348558848).

Almost surely, 234246129379 is an apocalyptic number.

34246129379 is a deficient number, since it is larger than the sum of its proper divisors (8907753757).

34246129379 is a wasteful number, since it uses less digits than its factorization.

34246129379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415.

The product of its digits is 1959552, while the sum is 50.

The spelling of 34246129379 in words is "thirty-four billion, two hundred forty-six million, one hundred twenty-nine thousand, three hundred seventy-nine".

Divisors: 1 7 11 77 103 721 1133 1607 2687 7931 11249 17677 18809 29557 123739 165521 206899 276761 1158647 1820731 1937327 3044371 4318009 12745117 21310597 30226063 47498099 332486693 444754927 3113284489 4892304197 34246129379