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63368316 = 223211179413
BaseRepresentation
bin1111000110111…
…0110001111100
311102020102222200
43301232301330
5112210241231
610142111500
71366423164
oct361566174
9142212880
1063368316
1132851610
121927b590
131018915b
1485b75a4
15586abe6
hex3c6ec7c

63368316 has 72 divisors (see below), whose sum is σ = 185041584. Its totient is φ = 18071040.

The previous prime is 63368273. The next prime is 63368339. The reversal of 63368316 is 61386336.

63368316 is a `hidden beast` number, since 6 + 336 + 8 + 316 = 666.

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

It is a congruent number.

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, 2026 + ... + 11438.

It is an arithmetic number, because the mean of its divisors is an integer number (2570022).

Almost surely, 263368316 is an apocalyptic number.

63368316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63368316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92520792).

63368316 is an abundant number, since it is smaller than the sum of its proper divisors (121673268).

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

63368316 is a wasteful number, since it uses less digits than its factorization.

63368316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9451 (or 9446 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 63368316 is about 7960.4218481184. The cubic root of 63368316 is about 398.6796380732.

The spelling of 63368316 in words is "sixty-three million, three hundred sixty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 9413 18826 28239 37652 56478 84717 103543 112956 160021 169434 207086 310629 320042 338868 414172 480063 621258 640084 931887 960126 1242516 1440189 1760231 1863774 1920252 2880378 3520462 3727548 5280693 5760756 7040924 10561386 15842079 21122772 31684158 63368316