Search a number
-
+
314255260 = 2251111312641
BaseRepresentation
bin10010101110110…
…010011110011100
3210220022211011201
4102232302132130
51120422132020
651103325244
710534061044
oct2256623634
9726284151
10314255260
111514306a0
12892b0824
135014c477
142da44724
151c8c7a0a
hex12bb279c

314255260 has 48 divisors (see below), whose sum is σ = 726358752. Its totient is φ = 113254400.

The previous prime is 314255257. The next prime is 314255273. The reversal of 314255260 is 62552413.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18540 + ... + 31180.

It is an arithmetic number, because the mean of its divisors is an integer number (15132474).

Almost surely, 2314255260 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 314255260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363179376).

314255260 is an abundant number, since it is smaller than the sum of its proper divisors (412103492).

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

314255260 is a wasteful number, since it uses less digits than its factorization.

314255260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12774 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 314255260 is about 17727.2462610525. The cubic root of 314255260 is about 679.8725683931.

The spelling of 314255260 in words is "three hundred fourteen million, two hundred fifty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 12641 24860 25282 50564 63205 126410 139051 252820 278102 556204 695255 1390510 1428433 2781020 2856866 5713732 7142165 14284330 15712763 28568660 31425526 62851052 78563815 157127630 314255260