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317987964 = 223374110259
BaseRepresentation
bin10010111101000…
…001110001111100
3211011100110111000
4102331001301330
51122401103324
651315330300
710610565420
oct2275016174
9734313430
10317987964
11153550078
128a5b0990
1350b58478
1430336b80
151cdb39c9
hex12f41c7c

317987964 has 96 divisors (see below), whose sum is σ = 965260800. Its totient is φ = 88629120.

The previous prime is 317987909. The next prime is 317987977. The reversal of 317987964 is 469789713.

It is a happy number.

It is a super-2 number, since 2×3179879642 = 202232690497730592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 317987964.

It is a congruent number.

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, 25867 + ... + 36125.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2317987964 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 317987964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482630400).

317987964 is an abundant number, since it is smaller than the sum of its proper divisors (647272836).

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

317987964 is a wasteful number, since it uses less digits than its factorization.

317987964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320 (or 10312 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 317987964 is about 17832.2170242514. The cubic root of 317987964 is about 682.5538080992.

The spelling of 317987964 in words is "three hundred seventeen million, nine hundred eighty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1107 1148 1476 1722 2214 2583 3444 4428 5166 7749 10259 10332 15498 20518 30777 30996 41036 61554 71813 92331 123108 143626 184662 215439 276993 287252 369324 420619 430878 553986 646317 841238 861756 1107972 1261857 1292634 1682476 1938951 2523714 2585268 2944333 3785571 3877902 5047428 5888666 7571142 7755804 8832999 11356713 11777332 15142284 17665998 22713426 26498997 35331996 45426852 52997994 79496991 105995988 158993982 317987964