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317422638 = 2361316747
BaseRepresentation
bin10010111010110…
…111110000101110
3211010021202000000
4102322313300232
51122230011023
651255245130
710603022301
oct2272676056
9733252000
10317422638
111531a4365
128a3797a6
13509bb060
143022ab38
151cd01243
hex12eb7c2e

317422638 has 56 divisors (see below), whose sum is σ = 768833688. Its totient is φ = 97662672.

The previous prime is 317422591. The next prime is 317422663. The reversal of 317422638 is 836224713.

It is a happy number.

317422638 is a `hidden beast` number, since 3 + 17 + 4 + 2 + 2 + 638 = 666.

It is a super-2 number, since 2×3174226382 = 201514262229758088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 10581 + ... + 27327.

It is an arithmetic number, because the mean of its divisors is an integer number (13729173).

Almost surely, 2317422638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317422638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384416844).

317422638 is an abundant number, since it is smaller than the sum of its proper divisors (451411050).

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

317422638 is a wasteful number, since it uses less digits than its factorization.

317422638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16780 (or 16765 counting only the distinct ones).

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

The square root of 317422638 is about 17816.3587188853. The cubic root of 317422638 is about 682.1490817671.

The spelling of 317422638 in words is "three hundred seventeen million, four hundred twenty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 6318 9477 16747 18954 33494 50241 100482 150723 217711 301446 435422 452169 653133 904338 1306266 1356507 1959399 2713014 3918798 4069521 5878197 8139042 11756394 12208563 17634591 24417126 35269182 52903773 105807546 158711319 317422638