Search a number
-
+
132364314 = 2334752153
BaseRepresentation
bin1111110001110…
…11100000011010
3100020001210201000
413320323200122
5232341124224
621045005430
73165035535
oct770734032
9306053630
10132364314
11687972a5
12383b3876
13215659a4
1413817a1c
15b9490c9
hex7e3b81a

132364314 has 32 divisors (see below), whose sum is σ = 300407040. Its totient is φ = 43181856.

The previous prime is 132364283. The next prime is 132364319. The reversal of 132364314 is 413463231.

132364314 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 643 + 14 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132364319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23539 + ... + 28614.

It is an arithmetic number, because the mean of its divisors is an integer number (9387720).

Almost surely, 2132364314 is an apocalyptic number.

132364314 is an abundant number, since it is smaller than the sum of its proper divisors (168042726).

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

132364314 is a wasteful number, since it uses less digits than its factorization.

132364314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52211 (or 52205 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 132364314 is about 11504.9691003496. The cubic root of 132364314 is about 509.6323301584.

The spelling of 132364314 in words is "one hundred thirty-two million, three hundred sixty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 52153 104306 156459 312918 469377 938754 1408131 2451191 2816262 4902382 7353573 14707146 22060719 44121438 66182157 132364314