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317135280 = 24357111312
BaseRepresentation
bin10010111001110…
…001100110110000
3211002202010211010
4102321301212300
51122141312110
651245150520
710600414440
oct2271614660
9732663733
10317135280
11153018480
128a25b440
135091a317
1430194120
151cc96020
hex12e719b0

317135280 has 240 divisors, whose sum is σ = 1235135232. Its totient is φ = 65395200.

The previous prime is 317135263. The next prime is 317135297. The reversal of 317135280 is 82531713.

It is an interprime number because it is at equal distance from previous prime (317135263) and next prime (317135297).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2420815 + ... + 2420945.

Almost surely, 2317135280 is an apocalyptic number.

317135280 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 317135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617567616).

317135280 is an abundant number, since it is smaller than the sum of its proper divisors (917999952).

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

317135280 is a wasteful number, since it uses less digits than its factorization.

317135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 317135280 is about 17808.2924504288. The cubic root of 317135280 is about 681.9431731417.

Adding to 317135280 its reverse (82531713), we get a palindrome (399666993).

The spelling of 317135280 in words is "three hundred seventeen million, one hundred thirty-five thousand, two hundred eighty".