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34347067452 = 223222341910211
BaseRepresentation
bin11111111111001111…
…101010100000111100
310021122201001210212100
4133333033222200330
51030320322124302
623440120505100
72324103153615
oct377717524074
9107581053770
1034347067452
111362602a165
1267a691b190
133314b83c69
14193b904c0c
15d605a8d1c
hex7ff3ea83c

34347067452 has 72 divisors (see below), whose sum is σ = 87427791360. Its totient is φ = 11369365920.

The previous prime is 34347067441. The next prime is 34347067459. The reversal of 34347067452 is 25476074343.

It is a junction number, because it is equal to n+sod(n) for n = 34347067398 and 34347067407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34347067459) 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, 3358627 + ... + 3368837.

It is an arithmetic number, because the mean of its divisors is an integer number (1214274880).

Almost surely, 234347067452 is an apocalyptic number.

It is an amenable number.

34347067452 is an abundant number, since it is smaller than the sum of its proper divisors (53080723908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34347067452 is a wasteful number, since it uses less digits than its factorization.

34347067452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 34347067452 in words is "thirty-four billion, three hundred forty-seven million, sixty-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 223 419 446 669 838 892 1257 1338 1676 2007 2514 2676 3771 4014 5028 7542 8028 10211 15084 20422 30633 40844 61266 91899 93437 122532 183798 186874 280311 367596 373748 560622 840933 1121244 1681866 2277053 3363732 4278409 4554106 6831159 8556818 9108212 12835227 13662318 17113636 20493477 25670454 27324636 38505681 40986954 51340908 77011362 81973908 154022724 954085207 1908170414 2862255621 3816340828 5724511242 8586766863 11449022484 17173533726 34347067452