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34351346631 = 373511465901
BaseRepresentation
bin11111111111011111…
…111111001111000111
310021200000010012210110
4133333133333033013
51030322421043011
623440352324103
72324154425430
oct377737771707
9107600105713
1034351346631
1113628492178
1267a8243633
133315a21914
14193c2da487
15d60b51ba6
hex7ff7ff3c7

34351346631 has 16 divisors (see below), whose sum is σ = 52359930368. Its totient is φ = 19623708000.

The previous prime is 34351346629. The next prime is 34351346657. The reversal of 34351346631 is 13664315343.

It is a happy number.

It is not a de Polignac number, because 34351346631 - 21 = 34351346629 is a prime.

It is a super-2 number, since 2×343513466312 (a number of 22 digits) contains 22 as substring.

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 34351346631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34351346611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159220 + ... + 306681.

It is an arithmetic number, because the mean of its divisors is an integer number (3272495648).

Almost surely, 234351346631 is an apocalyptic number.

34351346631 is a deficient number, since it is larger than the sum of its proper divisors (18008583737).

34351346631 is a wasteful number, since it uses less digits than its factorization.

34351346631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469422.

The product of its digits is 233280, while the sum is 39.

The spelling of 34351346631 in words is "thirty-four billion, three hundred fifty-one million, three hundred forty-six thousand, six hundred thirty-one".

Divisors: 1 3 7 21 3511 10533 24577 73731 465901 1397703 3261307 9783921 1635778411 4907335233 11450448877 34351346631