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317170768 = 24174332693
BaseRepresentation
bin10010111001111…
…010010001010000
3211002210221111111
4102321322101100
51122143431033
651250023104
710600623055
oct2271722120
9732727444
10317170768
11153042102
128a277a94
1350930515
14301a302c
151cca17cd
hex12e7a450

317170768 has 40 divisors (see below), whose sum is σ = 652411368. Its totient is φ = 148856832.

The previous prime is 317170757. The next prime is 317170783. The reversal of 317170768 is 867071713.

It can be written as a sum of positive squares in 4 ways, for example, as 23116864 + 294053904 = 4808^2 + 17148^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 317170768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116430 + ... + 119122.

Almost surely, 2317170768 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 317170768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326205684).

317170768 is an abundant number, since it is smaller than the sum of its proper divisors (335240600).

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

317170768 is a wasteful number, since it uses less digits than its factorization.

With its successor (317170769) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (3151).

317170768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The square root of 317170768 is about 17809.2888123024. The cubic root of 317170768 is about 681.9686090762.

The spelling of 317170768 in words is "three hundred seventeen million, one hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 433 866 1732 2693 3464 5386 6928 7361 10772 14722 21544 29444 43088 45781 58888 91562 117776 183124 366248 732496 1166069 2332138 4664276 9328552 18657104 19823173 39646346 79292692 158585384 317170768