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3136390344 = 2332196533511
BaseRepresentation
bin1011101011110001…
…1000010011001000
322002120200010201100
42322330120103020
522410403442334
61235115421400
7140502610113
oct27274302310
98076603640
103136390344
11136a45753a
12736454860
133aca29899
1421a78b57a
15135535c99
hexbaf184c8

3136390344 has 96 divisors (see below), whose sum is σ = 8957707200. Its totient is φ = 988640640.

The previous prime is 3136390319. The next prime is 3136390351. The reversal of 3136390344 is 4430936313.

3136390344 is a `hidden beast` number, since 3 + 13 + 639 + 0 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3136390299 and 3136390308.

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, 891549 + ... + 895059.

It is an arithmetic number, because the mean of its divisors is an integer number (93309450).

Almost surely, 23136390344 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 3136390344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478853600).

3136390344 is an abundant number, since it is smaller than the sum of its proper divisors (5821316856).

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

3136390344 is a wasteful number, since it uses less digits than its factorization.

3136390344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 3136390344 is about 56003.4851058396. The cubic root of 3136390344 is about 1463.7830122731.

The spelling of 3136390344 in words is "three billion, one hundred thirty-six million, three hundred ninety thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 653 684 1306 1368 1959 2612 3511 3918 5224 5877 7022 7836 10533 11754 12407 14044 15672 21066 23508 24814 28088 31599 37221 42132 47016 49628 63198 66709 74442 84264 99256 111663 126396 133418 148884 200127 223326 252792 266836 297768 400254 446652 533672 600381 800508 893304 1200762 1601016 2292683 2401524 4585366 4803048 6878049 9170732 13756098 18341464 20634147 27512196 41268294 43560977 55024392 82536588 87121954 130682931 165073176 174243908 261365862 348487816 392048793 522731724 784097586 1045463448 1568195172 3136390344