Base | Representation |
---|---|
bin | 1001101001111010000 |
3 | 121001222100 |
4 | 1031033100 |
5 | 40110433 |
6 | 10440400 |
7 | 2455233 |
oct | 1151720 |
9 | 531870 |
10 | 316368 |
11 | 1a6768 |
12 | 133100 |
13 | b1000 |
14 | 8341a |
15 | 63b13 |
hex | 4d3d0 |
316368 has 60 divisors (see below), whose sum is σ = 959140. Its totient is φ = 97344.
The previous prime is 316363. The next prime is 316373. The reversal of 316368 is 863613.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
316368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (316363) and next prime (316373).
It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 304704 = 108^2 + 552^2 .
It is a super-2 number, since 2×3163682 = 200177422848, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (2592) is a multiple of the sum of its prime divisors (18).
It is a nialpdrome in base 13.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (316363) by changing a digit.
316368 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 11 ways as a sum of consecutive naturals, for example, 24330 + ... + 24342.
2316368 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 316368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479570).
316368 is an abundant number, since it is smaller than the sum of its proper divisors (642772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
316368 is a wasteful number, since it uses less digits than its factorization.
316368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53 (or 18 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 316368 is about 562.4659989724. The cubic root of 316368 is about 68.1392762494.
Multiplying 316368 by its product of digits (2592), we get a cube (820025856 = 9363).
The spelling of 316368 in words is "three hundred sixteen thousand, three hundred sixty-eight".
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