Search a number
-
+
314448260 = 225717312983
BaseRepresentation
bin10010101111100…
…001100110000100
3210220200121220212
4102233201212010
51120444321020
651111414552
710535523530
oct2257414604
9726617825
10314448260
111515526a5
1289384458
13501b9279
142da94bc0
151c914cc5
hex12be1984

314448260 has 48 divisors (see below), whose sum is σ = 759096576. Its totient is φ = 107179392.

The previous prime is 314448257. The next prime is 314448287. The reversal of 314448260 is 62844413.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17729 + ... + 30711.

It is an arithmetic number, because the mean of its divisors is an integer number (15814512).

Almost surely, 2314448260 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 314448260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379548288).

314448260 is an abundant number, since it is smaller than the sum of its proper divisors (444648316).

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

314448260 is a wasteful number, since it uses less digits than its factorization.

314448260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13172 (or 13170 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 314448260 is about 17732.6890233828. The cubic root of 314448260 is about 680.0117212512.

The spelling of 314448260 in words is "three hundred fourteen million, four hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 12110 12983 24220 25966 51932 64915 90881 129830 181762 259660 363524 454405 908810 1817620 2246059 4492118 8984236 11230295 15722413 22460590 31444826 44921180 62889652 78612065 157224130 314448260