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345130560664 = 232910114729027
BaseRepresentation
bin1010000010110110110…
…00100110110010011000
31012222211202001001100221
411001123120212302120
521123311410420124
6422314545405424
733635441235061
oct5013330466230
91188752031327
10345130560664
1112340722751a
1256a7b639874
1326712ac3786
14129c0c79568
158e9e7dbce4
hex505b626c98

345130560664 has 32 divisors (see below), whose sum is σ = 676062385200. Its totient is φ = 164965091200.

The previous prime is 345130560661. The next prime is 345130560703. The reversal of 345130560664 is 466065031543.

It is a super-3 number, since 3×3451305606643 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345130560664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345130560661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7341082 + ... + 7387945.

Almost surely, 2345130560664 is an apocalyptic number.

It is an amenable number.

345130560664 is a deficient number, since it is larger than the sum of its proper divisors (330931824536).

345130560664 is a wasteful number, since it uses less digits than its factorization.

345130560664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14729163 (or 14729159 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 345130560664 in words is "three hundred forty-five billion, one hundred thirty million, five hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 29 58 101 116 202 232 404 808 2929 5858 11716 23432 14729027 29458054 58916108 117832216 427141783 854283566 1487631727 1708567132 2975263454 3417134264 5950526908 11901053816 43141320083 86282640166 172565280332 345130560664