Search a number
-
+
318361320 = 233353137257
BaseRepresentation
bin10010111110011…
…100111011101000
3211012001102122000
4102332130323220
51123000030240
651331331000
710614012054
oct2276347350
9735042560
10318361320
11153785632
128a750a60
1350c593a4
14303d2c64
151ce39430
hex12f9cee8

318361320 has 256 divisors, whose sum is σ = 1129420800. Its totient is φ = 79626240.

The previous prime is 318361319. The next prime is 318361327. The reversal of 318361320 is 23163813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (318361327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1238632 + ... + 1238888.

It is an arithmetic number, because the mean of its divisors is an integer number (4411800).

Almost surely, 2318361320 is an apocalyptic number.

318361320 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 318361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564710400).

318361320 is an abundant number, since it is smaller than the sum of its proper divisors (811059480).

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

318361320 is a wasteful number, since it uses less digits than its factorization.

318361320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 318361320 is about 17842.6825337448. The cubic root of 318361320 is about 682.8208369573.

The spelling of 318361320 in words is "three hundred eighteen million, three hundred sixty-one thousand, three hundred twenty".