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317980288 = 2713718133
BaseRepresentation
bin10010111100111…
…111111010000000
3211011100001221201
4102330333322000
51122400332123
651315230544
710610534143
oct2274777200
9734301851
10317980288
1115354532a
128a5a8454
1350b54b22
143033405a
151cdb15ad
hex12f3fe80

317980288 has 32 divisors (see below), whose sum is σ = 638135460. Its totient is φ = 157820928.

The previous prime is 317980283. The next prime is 317980307. The reversal of 317980288 is 882089713.

It can be written as a sum of positive squares in 2 ways, for example, as 317980224 + 64 = 17832^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3179802882 = 202222927113125888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (317980283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8470 + ... + 26602.

Almost surely, 2317980288 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 317980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319067730).

317980288 is an abundant number, since it is smaller than the sum of its proper divisors (320155172).

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

317980288 is a wasteful number, since it uses less digits than its factorization.

317980288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 18272 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 317980288 is about 17832.0017945266. The cubic root of 317980288 is about 682.5483159362.

The spelling of 317980288 in words is "three hundred seventeen million, nine hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17536 18133 36266 72532 145064 290128 580256 1160512 2321024 2484221 4968442 9936884 19873768 39747536 79495072 158990144 317980288