Search a number
-
+
3134287656 = 2333107135613
BaseRepresentation
bin1011101011010001…
…0110111100101000
322002102201022101000
42322310112330220
522404334201111
61235002355000
7140446001613
oct27264267450
98072638330
103134287656
111369250785
127357bba60
133ac4717a6
1421a3a117a
1513526cc56
hexbad16f28

3134287656 has 64 divisors (see below), whose sum is σ = 8787787200. Its totient is φ = 1034990784.

The previous prime is 3134287613. The next prime is 3134287679. The reversal of 3134287656 is 6567824313.

3134287656 is a `hidden beast` number, since 313 + 4 + 287 + 6 + 56 = 666.

It is a super-2 number, since 2×31342876562 = 19647518221107948672, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 44695 + ... + 90918.

It is an arithmetic number, because the mean of its divisors is an integer number (137309175).

Almost surely, 23134287656 is an apocalyptic number.

3134287656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3134287656 is an abundant number, since it is smaller than the sum of its proper divisors (5653499544).

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

3134287656 is a wasteful number, since it uses less digits than its factorization.

3134287656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135735 (or 135725 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3134287656 is about 55984.7091266892. The cubic root of 3134287656 is about 1463.4558243582.

The spelling of 3134287656 in words is "three billion, one hundred thirty-four million, two hundred eighty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3852 5778 7704 11556 23112 135613 271226 406839 542452 813678 1084904 1220517 1627356 2441034 3254712 3661551 4882068 7323102 9764136 14510591 14646204 29021182 29292408 43531773 58042364 87063546 116084728 130595319 174127092 261190638 348254184 391785957 522381276 783571914 1044762552 1567143828 3134287656