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349057834929 = 32316120509891
BaseRepresentation
bin1010001010001010111…
…01111101111110110001
31020100222102220020212100
411011011131331332301
521204332301204204
6424204400451013
734134656433216
oct5050535757661
91210872806770
10349057834929
11125042058831
1257796919a69
1326bba630abb
1412c7469bb0d
15912e498a39
hex514577dfb1

349057834929 has 24 divisors (see below), whose sum is σ = 528991134464. Its totient is φ = 221506812000.

The previous prime is 349057834907. The next prime is 349057834997. The reversal of 349057834929 is 929438750943.

349057834929 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 578 + 34 + 9 + 29 = 666.

It is not a de Polignac number, because 349057834929 - 28 = 349057834673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (349057834529) 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 23 ways as a sum of consecutive naturals, for example, 10237927 + ... + 10271964.

Almost surely, 2349057834929 is an apocalyptic number.

It is an amenable number.

349057834929 is a deficient number, since it is larger than the sum of its proper divisors (179933299535).

349057834929 is a wasteful number, since it uses less digits than its factorization.

349057834929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20509989 (or 20509986 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 349057834929 in words is "three hundred forty-nine billion, fifty-seven million, eight hundred thirty-four thousand, nine hundred twenty-nine".

Divisors: 1 3 9 31 61 93 183 279 549 1891 5673 17019 20509891 61529673 184589019 635806621 1251103351 1907419863 3753310053 5722259589 11259930159 38784203881 116352611643 349057834929