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317680000 = 275411192
BaseRepresentation
bin10010111011110…
…110100110000000
3211010202211000221
4102323312212000
51122311230000
651304552424
710605143521
oct2273664600
9733684027
10317680000
1115335a760
128a482714
1350a7b241
1430296848
151cd5261a
hex12ef6980

317680000 has 240 divisors, whose sum is σ = 910536660. Its totient is φ = 109440000.

The previous prime is 317679983. The next prime is 317680043. The reversal of 317680000 is 86713.

317680000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16719991 + ... + 16720009.

Almost surely, 2317680000 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 317680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455268330).

317680000 is an abundant number, since it is smaller than the sum of its proper divisors (592856660).

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

317680000 is an equidigital number, since it uses as much as digits as its factorization.

317680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 317680000 is about 17823.5798873290. The cubic root of 317680000 is about 682.3333910605. Note that the first 4 decimals are identical.

The spelling of 317680000 in words is "three hundred seventeen million, six hundred eighty thousand".