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34000460351 = 1113594029923
BaseRepresentation
bin11111101010100101…
…011101101000111111
310020202112212100022022
4133222211131220333
51024113104212401
623341455510355
72312364100364
oct375245355077
9106675770268
1034000460351
1113468412110
12670a8283bb
13328b1181c0
14190787c46b
15d3ee4071b
hex7ea95da3f

34000460351 has 16 divisors (see below), whose sum is σ = 40621633920. Its totient is φ = 28048257120.

The previous prime is 34000460339. The next prime is 34000460359. The reversal of 34000460351 is 15306400043.

It is not a de Polignac number, because 34000460351 - 26 = 34000460287 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34000460351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000460359) 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 15 ways as a sum of consecutive naturals, for example, 2006525 + ... + 2023398.

It is an arithmetic number, because the mean of its divisors is an integer number (2538852120).

Almost surely, 234000460351 is an apocalyptic number.

34000460351 is a deficient number, since it is larger than the sum of its proper divisors (6621173569).

34000460351 is a wasteful number, since it uses less digits than its factorization.

34000460351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030006.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 34000460351 its reverse (15306400043), we get a palindrome (49306860394).

The spelling of 34000460351 in words is "thirty-four billion, four hundred sixty thousand, three hundred fifty-one".

Divisors: 1 11 13 59 143 649 767 8437 4029923 44329153 52388999 237765457 576278989 2615420027 3090950941 34000460351