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3134081832 = 233743467929
BaseRepresentation
bin1011101011001110…
…0100101100101000
322002102022212000220
42322303210230220
522404311104312
61234554130040
7140444153550
oct27263445450
98072285026
103134081832
111369120082
12735720920
133ac3cbbbb
1421a34a160
1513522bc8c
hexbace4b28

3134081832 has 128 divisors (see below), whose sum is σ = 9192268800. Its totient is φ = 871815168.

The previous prime is 3134081761. The next prime is 3134081857. The reversal of 3134081832 is 2381804313.

3134081832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3134081793 and 3134081802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3373144 + ... + 3374072.

It is an arithmetic number, because the mean of its divisors is an integer number (71814600).

Almost surely, 23134081832 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 3134081832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

3134081832 is an abundant number, since it is smaller than the sum of its proper divisors (6058186968).

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

3134081832 is a wasteful number, since it uses less digits than its factorization.

3134081832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3134081832 is about 55982.8708802969. The cubic root of 3134081832 is about 1463.4237893358.

The spelling of 3134081832 in words is "three billion, one hundred thirty-four million, eighty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 467 516 602 903 929 934 1032 1204 1401 1806 1858 1868 2408 2787 2802 3269 3612 3716 3736 5574 5604 6503 6538 7224 7432 9807 11148 11208 13006 13076 19509 19614 20081 22296 26012 26152 39018 39228 39947 40162 52024 60243 78036 78456 79894 80324 119841 120486 140567 156072 159788 160648 239682 240972 279629 281134 319576 421701 433843 479364 481944 559258 562268 838887 843402 867686 958728 1118516 1124536 1301529 1677774 1686804 1735372 2237032 2603058 3036901 3355548 3373608 3470744 5206116 6073802 6711096 9110703 10412232 12147604 18221406 18655249 24295208 36442812 37310498 55965747 72885624 74620996 111931494 130586743 149241992 223862988 261173486 391760229 447725976 522346972 783520458 1044693944 1567040916 3134081832