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317689344 = 29337367
BaseRepresentation
bin10010111011111…
…000111000000000
3211010210021212000
4102323320320000
51122312024334
651305104000
710605213000
oct2273707000
9733707760
10317689344
11153366785
128a488000
1350a8257b
143029a000
151cd55299
hex12ef8e00

317689344 has 320 divisors, whose sum is σ = 1113024000. Its totient is φ = 89413632.

The previous prime is 317689303. The next prime is 317689349. The reversal of 317689344 is 443986713.

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

It is a self number, because there is not a number n which added to its sum of digits gives 317689344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317689349) by changing a digit.

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, 4741599 + ... + 4741665.

It is an arithmetic number, because the mean of its divisors is an integer number (3478200).

Almost surely, 2317689344 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 317689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556512000).

317689344 is an abundant number, since it is smaller than the sum of its proper divisors (795334656).

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

317689344 is an frugal number, since it uses more digits than its factorization.

317689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 79 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 317689344 is about 17823.8420100718. The cubic root of 317689344 is about 682.3400808749.

The spelling of 317689344 in words is "three hundred seventeen million, six hundred eighty-nine thousand, three hundred forty-four".