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317324628 = 22341019697
BaseRepresentation
bin10010111010011…
…111110101010100
3211010002202120000
4102322133311110
51122213342003
651253211300
710602133455
oct2272376524
9733082500
10317324628
11153137765
128a330b30
135098556a
143020312c
151ccd21a3
hex12e9fd54

317324628 has 60 divisors (see below), whose sum is σ = 837849012. Its totient is φ = 104716800.

The previous prime is 317324627. The next prime is 317324647. The reversal of 317324628 is 826423713.

It is a happy number.

317324628 is a `hidden beast` number, since 3 + 1 + 7 + 3 + 24 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184199184 + 133125444 = 13572^2 + 11538^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 317324592 and 317324601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317324627) 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 19 ways as a sum of consecutive naturals, for example, 27876 + ... + 37572.

Almost surely, 2317324628 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 317324628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418924506).

317324628 is an abundant number, since it is smaller than the sum of its proper divisors (520524384).

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

317324628 is a wasteful number, since it uses less digits than its factorization.

317324628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9814 (or 9803 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 317324628 is about 17813.6079444901. The cubic root of 317324628 is about 682.0788659037.

The spelling of 317324628 in words is "three hundred seventeen million, three hundred twenty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 9697 10908 16362 19394 29091 32724 38788 58182 87273 116364 174546 261819 349092 523638 785457 979397 1047276 1570914 1958794 2938191 3141828 3917588 5876382 8814573 11752764 17629146 26443719 35258292 52887438 79331157 105774876 158662314 317324628