Search a number
-
+
317306880 = 21132511313
BaseRepresentation
bin10010111010011…
…011100000000000
3211010001212012200
4102322123200000
51122212310010
651252553200
710602030642
oct2272334000
9733055180
10317306880
111531253a0
128a322800
135097a467
14301da892
151cccbcc0
hex12e9b800

317306880 has 288 divisors, whose sum is σ = 1203536880. Its totient is φ = 76677120.

The previous prime is 317306879. The next prime is 317306903. The reversal of 317306880 is 88603713.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1013604 + ... + 1013916.

Almost surely, 2317306880 is an apocalyptic number.

317306880 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 317306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601768440).

317306880 is an abundant number, since it is smaller than the sum of its proper divisors (886230000).

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

317306880 is a wasteful number, since it uses less digits than its factorization.

317306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 317306880 is about 17813.1097790363. The cubic root of 317306880 is about 682.0661494189.

The spelling of 317306880 in words is "three hundred seventeen million, three hundred six thousand, eight hundred eighty".