Search a number
-
+
317393856 = 26331371199
BaseRepresentation
bin10010111010110…
…000101111000000
3211010020021112000
4102322300233000
51122223100411
651254504000
710602542343
oct2272605700
9733207460
10317393856
1115318477a
128a365000
13509aac20
143022045a
151cce7956
hex12eb0bc0

317393856 has 224 divisors, whose sum is σ = 1024128000. Its totient is φ = 95800320.

The previous prime is 317393831. The next prime is 317393887. The reversal of 317393856 is 658393713.

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 31 ways as a sum of consecutive naturals, for example, 1594845 + ... + 1595043.

It is an arithmetic number, because the mean of its divisors is an integer number (4572000).

Almost surely, 2317393856 is an apocalyptic number.

317393856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064000).

317393856 is an abundant number, since it is smaller than the sum of its proper divisors (706734144).

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

317393856 is a wasteful number, since it uses less digits than its factorization.

317393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 317393856 is about 17815.5509597655. The cubic root of 317393856 is about 682.1284634012.

The spelling of 317393856 in words is "three hundred seventeen million, three hundred ninety-three thousand, eight hundred fifty-six".