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34313005431 = 341613262627
BaseRepresentation
bin11111111101001101…
…101110100101110111
310021120022222021120000
4133331031232211313
51030233112133211
623432502442343
72323210506465
oct377515564567
9107508867500
1034313005431
1113608884931
1267974333b3
13330aab9113
141937199835
15d5c5cb656
hex7fd36e977

34313005431 has 20 divisors (see below), whose sum is σ = 51289672632. Its totient is φ = 22861068048.

The previous prime is 34313005379. The next prime is 34313005459. The reversal of 34313005431 is 13450031343.

It is a de Polignac number, because none of the positive numbers 2k-34313005431 is a prime.

It is a super-2 number, since 2×343130054312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34313005395 and 34313005404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34313005481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 661 + ... + 261966.

Almost surely, 234313005431 is an apocalyptic number.

34313005431 is a deficient number, since it is larger than the sum of its proper divisors (16976667201).

34313005431 is a wasteful number, since it uses less digits than its factorization.

34313005431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264252 (or 264243 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 34313005431 its reverse (13450031343), we get a palindrome (47763036774).

The spelling of 34313005431 in words is "thirty-four billion, three hundred thirteen million, five thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 1613 4839 14517 43551 130653 262627 787881 2363643 7090929 21272787 423617351 1270852053 3812556159 11437668477 34313005431