Search a number
-
+
318414528 = 26324197139
BaseRepresentation
bin10010111110101…
…001111011000000
3211012011010121200
4102332221323000
51123003231103
651332421200
710614323145
oct2276517300
9735133550
10318414528
11153811603
128a777800
1350c77683
14304083cc
151ce4a0a3
hex12fa9ec0

318414528 has 168 divisors, whose sum is σ = 951372240. Its totient is φ = 101744640.

The previous prime is 318414517. The next prime is 318414581. The reversal of 318414528 is 825414813.

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

It is a junction number, because it is equal to n+sod(n) for n = 318414492 and 318414501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2290683 + ... + 2290821.

It is an arithmetic number, because the mean of its divisors is an integer number (5662930).

Almost surely, 2318414528 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 318414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475686120).

318414528 is an abundant number, since it is smaller than the sum of its proper divisors (632957712).

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

318414528 is a wasteful number, since it uses less digits than its factorization.

318414528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 318414528 is about 17844.1735028552. The cubic root of 318414528 is about 682.8588749820.

The spelling of 318414528 in words is "three hundred eighteen million, four hundred fourteen thousand, five hundred twenty-eight".