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317392992 = 25357417
BaseRepresentation
bin10010111010110…
…000100001100000
3211010020020100000
4102322300201200
51122223033432
651254500000
710602540000
oct2272604140
9733206300
10317392992
11153184064
128a364600
13509aa707
1430220000
151cce757c
hex12eb0860

317392992 has 360 divisors, whose sum is σ = 1156185576. Its totient is φ = 85349376.

The previous prime is 317392987. The next prime is 317393033. The reversal of 317392992 is 299293713.

It is a happy number.

It is a super-2 number, since 2×3173929922 = 201476622741424128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18670168 + ... + 18670184.

Almost surely, 2317392992 is an apocalyptic number.

317392992 is a gapful number since it is divisible by the number (32) 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 317392992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578092788).

317392992 is an abundant number, since it is smaller than the sum of its proper divisors (838792584).

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

317392992 is an frugal number, since it uses more digits than its factorization.

317392992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 317392992 is about 17815.5267112707. The cubic root of 317392992 is about 682.1278444441.

The spelling of 317392992 in words is "three hundred seventeen million, three hundred ninety-two thousand, nine hundred ninety-two".