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317988 = 223211273
BaseRepresentation
bin1001101101000100100
3121011012100
41031220210
540133423
610452100
72463036
oct1155044
9534170
10317988
111a7a00
12134030
13b1978
1483c56
1564343
hex4da24

317988 has 54 divisors (see below), whose sum is σ = 895622. Its totient is φ = 95040.

The previous prime is 317987. The next prime is 318001. The reversal of 317988 is 889713.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 39204 = 528^2 + 198^2 .

It is a super-2 number, since 2×3179882 = 202232736288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (317983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4320 + ... + 4392.

2317988 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 317988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447811).

317988 is an abundant number, since it is smaller than the sum of its proper divisors (577634).

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

317988 is a wasteful number, since it uses less digits than its factorization.

317988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 317988 is about 563.9042471910. The cubic root of 317988 is about 68.2553833857.

The spelling of 317988 in words is "three hundred seventeen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 121 132 146 198 219 242 292 363 396 438 484 657 726 803 876 1089 1314 1452 1606 2178 2409 2628 3212 4356 4818 7227 8833 9636 14454 17666 26499 28908 35332 52998 79497 105996 158994 317988