Search a number
-
+
318041856 = 2833114789
BaseRepresentation
bin10010111101001…
…110111100000000
3211011110012102000
4102331032330000
51122404314411
651320424000
710611211506
oct2275167400
9734405360
10318041856
11153587610
128a618000
1350b76b62
143034c676
151cdc4956
hex12f4ef00

318041856 has 288 divisors, whose sum is σ = 1059609600. Its totient is φ = 93265920.

The previous prime is 318041839. The next prime is 318041863. The reversal of 318041856 is 658140813.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 318041856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3573460 + ... + 3573548.

It is an arithmetic number, because the mean of its divisors is an integer number (3679200).

Almost surely, 2318041856 is an apocalyptic number.

318041856 is a gapful number since it is divisible by the number (36) 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 318041856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529804800).

318041856 is an abundant number, since it is smaller than the sum of its proper divisors (741567744).

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

318041856 is a wasteful number, since it uses less digits than its factorization.

318041856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 318041856 is about 17833.7280454761. The cubic root of 318041856 is about 682.5923652315.

The spelling of 318041856 in words is "three hundred eighteen million, forty-one thousand, eight hundred fifty-six".