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317984 = 2519523
BaseRepresentation
bin1001101101000100000
3121011012012
41031220200
540133414
610452052
72463032
oct1155040
9534165
10317984
111a79a7
12134028
13b1974
1483c52
156433e
hex4da20

317984 has 24 divisors (see below), whose sum is σ = 660240. Its totient is φ = 150336.

The previous prime is 317983. The next prime is 317987. The reversal of 317984 is 489713.

It is a super-2 number, since 2×3179842 = 202227648512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 317984.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 317984.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 347 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (27510).

2317984 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 317984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330120).

317984 is an abundant number, since it is smaller than the sum of its proper divisors (342256).

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

317984 is a wasteful number, since it uses less digits than its factorization.

317984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 317984 is about 563.9007004784. The cubic root of 317984 is about 68.2550971876.

The spelling of 317984 in words is "three hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 523 608 1046 2092 4184 8368 9937 16736 19874 39748 79496 158992 317984