Search a number
-
+
314528868 = 2232149191307
BaseRepresentation
bin10010101111110…
…101010001100100
3210220211201111100
4102233311101210
51121004410433
651113240100
710536310533
oct2257652144
9726751440
10314528868
111515a8215
1289403030
1350216b74
142dab631a
151c92db13
hex12bf5464

314528868 has 72 divisors (see below), whose sum is σ = 807206400. Its totient is φ = 103256640.

The previous prime is 314528861. The next prime is 314528881. The reversal of 314528868 is 868825413.

It is a super-2 number, since 2×3145288682 = 197856817610722848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (314528861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024371 + ... + 1024677.

It is an arithmetic number, because the mean of its divisors is an integer number (11211200).

Almost surely, 2314528868 is an apocalyptic number.

It is an amenable number.

314528868 is an abundant number, since it is smaller than the sum of its proper divisors (492677532).

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

314528868 is a wasteful number, since it uses less digits than its factorization.

314528868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 314528868 is about 17734.9617422762. The cubic root of 314528868 is about 680.0698227035.

The spelling of 314528868 in words is "three hundred fourteen million, five hundred twenty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 191 298 307 382 447 573 596 614 764 894 921 1146 1228 1341 1719 1788 1842 2292 2682 2763 3438 3684 5364 5526 6876 11052 28459 45743 56918 58637 85377 91486 113836 117274 137229 170754 175911 182972 234548 256131 274458 341508 351822 411687 512262 527733 548916 703644 823374 1024524 1055466 1646748 2110932 8736913 17473826 26210739 34947652 52421478 78632217 104842956 157264434 314528868