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34350926648 = 23172931280957
BaseRepresentation
bin11111111111011110…
…011000101100111000
310021122222022212200112
4133333132120230320
51030322314123043
623440335323452
72324151026123
oct377736305470
9107588285615
1034350926648
1113628225685
1267a8080588
1333159056cc
14193c22b3ba
15d60abc518
hex7ff798b38

34350926648 has 64 divisors (see below), whose sum is σ = 72824313600. Its totient is φ = 15104194560.

The previous prime is 34350926641. The next prime is 34350926653. The reversal of 34350926648 is 84662905343.

It is a junction number, because it is equal to n+sod(n) for n = 34350926596 and 34350926605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34350926641) 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 15 ways as a sum of consecutive naturals, for example, 18215 + ... + 262742.

It is an arithmetic number, because the mean of its divisors is an integer number (1137879900).

Almost surely, 234350926648 is an apocalyptic number.

It is an amenable number.

34350926648 is an abundant number, since it is smaller than the sum of its proper divisors (38473386952).

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

34350926648 is a wasteful number, since it uses less digits than its factorization.

34350926648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281040 (or 281036 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 50.

The spelling of 34350926648 in words is "thirty-four billion, three hundred fifty million, nine hundred twenty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 17 29 31 34 58 62 68 116 124 136 232 248 493 527 899 986 1054 1798 1972 2108 3596 3944 4216 7192 15283 30566 61132 122264 280957 561914 1123828 2247656 4776269 8147753 8709667 9552538 16295506 17419334 19105076 32591012 34838668 38210152 65182024 69677336 138511801 148064339 252580343 277023602 296128678 505160686 554047204 592257356 1010321372 1108094408 1184514712 2020642744 4293865831 8587731662 17175463324 34350926648