Search a number
-
+
314665146 = 232251257271
BaseRepresentation
bin10010110000010…
…110100010111010
3210221002122102200
4102300112202322
51121023241041
651120211030
710540416045
oct2260264272
9727078380
10314665146
11151690644
1289469a76
1350263bc3
142db0dc5c
151c9591b6
hex12c168ba

314665146 has 48 divisors (see below), whose sum is σ = 689689728. Its totient is φ = 103680000.

The previous prime is 314665079. The next prime is 314665157. The reversal of 314665146 is 641566413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314665146.

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 23 ways as a sum of consecutive naturals, for example, 1160991 + ... + 1161261.

It is an arithmetic number, because the mean of its divisors is an integer number (14368536).

Almost surely, 2314665146 is an apocalyptic number.

314665146 is an abundant number, since it is smaller than the sum of its proper divisors (375024582).

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

314665146 is a wasteful number, since it uses less digits than its factorization.

314665146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 784 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 314665146 is about 17738.8033982002. The cubic root of 314665146 is about 680.1680279694.

The spelling of 314665146 in words is "three hundred fourteen million, six hundred sixty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 251 257 271 502 514 542 753 771 813 1506 1542 1626 2259 2313 2439 4518 4626 4878 64507 68021 69647 129014 136042 139294 193521 204063 208941 387042 408126 417882 580563 612189 626823 1161126 1224378 1253646 17481397 34962794 52444191 104888382 157332573 314665146