Search a number
-
+
314053524 = 2234969301
BaseRepresentation
bin10010101110000…
…001001110010100
3210212221120110000
4102232001032110
51120344203044
651055131300
710532260641
oct2256011624
9725846400
10314053524
11151303074
1289213b30
13500ab6b5
142d9d0dc8
151c887d69
hex12b81394

314053524 has 30 divisors (see below), whose sum is σ = 820998794. Its totient is φ = 104684400.

The previous prime is 314053511. The next prime is 314053543. The reversal of 314053524 is 425350413.

314053524 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 only one way, i.e., 170772624 + 143280900 = 13068^2 + 11970^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 484327 + ... + 484974.

Almost surely, 2314053524 is an apocalyptic number.

It is an amenable number.

314053524 is an abundant number, since it is smaller than the sum of its proper divisors (506945270).

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

314053524 is a wasteful number, since it uses less digits than its factorization.

314053524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969317 (or 969306 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 314053524 is about 17721.5553493479. Note that the first 3 decimals coincide. The cubic root of 314053524 is about 679.7270559714.

The spelling of 314053524 in words is "three hundred fourteen million, fifty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 969301 1938602 2907903 3877204 5815806 8723709 11631612 17447418 26171127 34894836 52342254 78513381 104684508 157026762 314053524