Search a number
-
+
3113813934 = 2337112273299
BaseRepresentation
bin1011100110011001…
…0000011110101110
322001000012010201000
42321212100132232
522334114021214
61232551501130
7140106660510
oct27146203656
98030163630
103113813934
111358737550
1272a9877a6
133a815386a
14217791bb0
15133576809
hexb99907ae

3113813934 has 128 divisors (see below), whose sum is σ = 8667648000. Its totient is φ = 804975840.

The previous prime is 3113813887. The next prime is 3113813951. The reversal of 3113813934 is 4393183113.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 942217 + ... + 945515.

It is an arithmetic number, because the mean of its divisors is an integer number (67716000).

Almost surely, 23113813934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113813934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333824000).

3113813934 is an abundant number, since it is smaller than the sum of its proper divisors (5553834066).

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

3113813934 is a wasteful number, since it uses less digits than its factorization.

3113813934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3549 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3113813934 is about 55801.5585266218. The cubic root of 3113813934 is about 1460.2623432372.

The spelling of 3113813934 in words is "three billion, one hundred thirteen million, eight hundred thirteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 227 231 297 378 454 462 594 681 693 1362 1386 1589 2043 2079 2497 3178 3299 4086 4158 4767 4994 6129 6598 7491 9534 9897 12258 14301 14982 17479 19794 22473 23093 28602 29691 34958 36289 42903 44946 46186 52437 59382 67419 69279 72578 85806 89073 104874 108867 134838 138558 157311 178146 207837 217734 254023 314622 326601 415674 471933 508046 623511 653202 748873 762069 943866 979803 1247022 1497746 1524138 1959606 2246619 2286207 4493238 4572414 5242111 6739857 6858621 8237603 10484222 13479714 13717242 15726333 16475206 20219571 24712809 31452666 40439142 47178999 49425618 57663221 74138427 94357998 115326442 141536997 148276854 172989663 222415281 283073994 345979326 444830562 518968989 1037937978 1556906967 3113813934