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317982 = 23767113
BaseRepresentation
bin1001101101000011110
3121011012010
41031220132
540133412
610452050
72463030
oct1155036
9534163
10317982
111a79a5
12134026
13b1972
1483c50
156433c
hex4da1e

317982 has 32 divisors (see below), whose sum is σ = 744192. Its totient is φ = 88704.

The previous prime is 317971. The next prime is 317983. The reversal of 317982 is 289713.

It is a happy number.

It is a super-2 number, since 2×3179822 = 202225104648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 317982.

It is not an unprimeable number, because it can be changed into a prime (317983) by changing a digit.

317982 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2758 + ... + 2870.

It is an arithmetic number, because the mean of its divisors is an integer number (23256).

2317982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372096).

317982 is an abundant number, since it is smaller than the sum of its proper divisors (426210).

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

317982 is a wasteful number, since it uses less digits than its factorization.

317982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its digits is 3024, while the sum is 30.

The square root of 317982 is about 563.8989271137. The cubic root of 317982 is about 68.2549540876.

The spelling of 317982 in words is "three hundred seventeen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 67 113 134 201 226 339 402 469 678 791 938 1407 1582 2373 2814 4746 7571 15142 22713 45426 52997 105994 158991 317982