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317399040 = 213335741
BaseRepresentation
bin10010111010110…
…010000000000000
3211010020112122000
4102322302000000
51122223232130
651254544000
710602563430
oct2272620000
9733215560
10317399040
11153188662
128a368000
13509b03aa
14302222c0
151cce9260
hex12eb2000

317399040 has 448 divisors, whose sum is σ = 1321125120. Its totient is φ = 70778880.

The previous prime is 317399023. The next prime is 317399053. The reversal of 317399040 is 40993713.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 317398986 and 317399004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741420 + ... + 7741460.

It is an arithmetic number, because the mean of its divisors is an integer number (2948940).

Almost surely, 2317399040 is an apocalyptic number.

317399040 is a gapful number since it is divisible by the number (30) 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 317399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660562560).

317399040 is an abundant number, since it is smaller than the sum of its proper divisors (1003726080).

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

317399040 is an equidigital number, since it uses as much as digits as its factorization.

317399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 317399040 is about 17815.6964500409. The cubic root of 317399040 is about 682.1321771201.

The spelling of 317399040 in words is "three hundred seventeen million, three hundred ninety-nine thousand, forty".