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10312234344 = 23321920393697
BaseRepresentation
bin10011001101010100…
…00011010101101000
3222121200021210010100
421212222003111220
5132104412444334
64423134545400
7513355355106
oct114652032550
928550253110
1010312234344
114411a95325
121bb9668260
13c845acb19
146db7dcc76
154054d6c99
hex266a83568

10312234344 has 96 divisors (see below), whose sum is σ = 29421288000. Its totient is φ = 3254017536.

The previous prime is 10312234319. The next prime is 10312234379. The reversal of 10312234344 is 44343221301.

10312234344 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 223 + 434 + 4 = 666.

It is a super-2 number, since 2×103122343442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2787504 + ... + 2791200.

It is an arithmetic number, because the mean of its divisors is an integer number (306471750).

Almost surely, 210312234344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312234344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710644000).

10312234344 is an abundant number, since it is smaller than the sum of its proper divisors (19109053656).

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

10312234344 is a wasteful number, since it uses less digits than its factorization.

10312234344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10312234344 its reverse (44343221301), we get a palindrome (54655455645).

The spelling of 10312234344 in words is "ten billion, three hundred twelve million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2039 3697 4078 6117 7394 8156 11091 12234 14788 16312 18351 22182 24468 29576 33273 36702 38741 44364 48936 66546 70243 73404 77482 88728 116223 133092 140486 146808 154964 210729 232446 266184 280972 309928 348669 421458 464892 561944 632187 697338 842916 929784 1264374 1394676 1685832 2528748 2789352 5057496 7538183 15076366 22614549 30152732 45229098 60305464 67843647 90458196 135687294 143225477 180916392 271374588 286450954 429676431 542749176 572901908 859352862 1145803816 1289029293 1718705724 2578058586 3437411448 5156117172 10312234344