Search a number
-
+
318396032 = 2711322013
BaseRepresentation
bin10010111110100…
…101011010000000
3211012010012020122
4102332211122000
51123002133112
651332155412
710614215213
oct2276453200
9735105218
10318396032
111537a9719
128a768b68
1350c6c126
143040177a
151ce44872
hex12fa5680

318396032 has 32 divisors (see below), whose sum is σ = 639946980. Its totient is φ = 157782016.

The previous prime is 318396031. The next prime is 318396047. The reversal of 318396032 is 230693813.

318396032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 302203456 + 16192576 = 17384^2 + 4024^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×3183960323 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 318395983 and 318396001.

It is not an unprimeable number, because it can be changed into a prime (318396031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3458 + ... + 25470.

Almost surely, 2318396032 is an apocalyptic number.

318396032 is a gapful number since it is divisible by the number (32) 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 318396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319973490).

318396032 is an abundant number, since it is smaller than the sum of its proper divisors (321550948).

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

318396032 is a wasteful number, since it uses less digits than its factorization.

318396032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22128 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 318396032 is about 17843.6552309217. The cubic root of 318396032 is about 682.8456528023.

The spelling of 318396032 in words is "three hundred eighteen million, three hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14464 22013 44026 88052 176104 352208 704416 1408832 2487469 2817664 4974938 9949876 19899752 39799504 79599008 159198016 318396032