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317347872 = 2534180627
BaseRepresentation
bin10010111010100…
…101100000100000
3211010010221102220
4102322211200200
51122220112442
651253511040
710602261312
oct2272454040
9733127386
10317347872
11153153176
128a342480
135099300a
143020b7b2
151ccd8eec
hex12ea5820

317347872 has 48 divisors (see below), whose sum is σ = 853366752. Its totient is φ = 103201280.

The previous prime is 317347871. The next prime is 317347879. The reversal of 317347872 is 278743713.

317347872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (317347871) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36378 + ... + 44249.

It is an arithmetic number, because the mean of its divisors is an integer number (17778474).

Almost surely, 2317347872 is an apocalyptic number.

317347872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

317347872 is an abundant number, since it is smaller than the sum of its proper divisors (536018880).

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

317347872 is a wasteful number, since it uses less digits than its factorization.

317347872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80681 (or 80673 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 317347872 is about 17814.2603551200. The cubic root of 317347872 is about 682.0955195686.

The spelling of 317347872 in words is "three hundred seventeen million, three hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 80627 161254 241881 322508 483762 645016 967524 1290032 1935048 2580064 3305707 3870096 6611414 7740192 9917121 13222828 19834242 26445656 39668484 52891312 79336968 105782624 158673936 317347872