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316627668 = 223275472297
BaseRepresentation
bin10010110111110…
…101101011010100
3211001210100111200
4102313311223110
51122024041133
651230232500
710563201510
oct2267655324
9731710450
10316627668
11152801065
128a055730
13507a0266
14300a1140
151cbe5913
hex12df5ad4

316627668 has 72 divisors (see below), whose sum is σ = 916773312. Its totient is φ = 90260352.

The previous prime is 316627667. The next prime is 316627679. The reversal of 316627668 is 866726613.

316627668 is a `hidden beast` number, since 3 + 16 + 627 + 6 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316627667) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136696 + ... + 138992.

Almost surely, 2316627668 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 316627668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458386656).

316627668 is an abundant number, since it is smaller than the sum of its proper divisors (600145644).

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

316627668 is a wasteful number, since it uses less digits than its factorization.

316627668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2856 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 316627668 is about 17794.0346183770. The cubic root of 316627668 is about 681.5791356521.

The spelling of 316627668 in words is "three hundred sixteen million, six hundred twenty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 547 1094 1641 2188 2297 3282 3829 4594 4923 6564 6891 7658 9188 9846 11487 13782 15316 16079 19692 20673 22974 27564 32158 34461 41346 45948 48237 64316 68922 82692 96474 137844 144711 192948 289422 578844 1256459 2512918 3769377 5025836 7538754 8795213 11308131 15077508 17590426 22616262 26385639 35180852 45232524 52771278 79156917 105542556 158313834 316627668