Search a number
-
+
382336272 = 24322655113
BaseRepresentation
bin10110110010011…
…111110100010000
3222122102200202200
4112302133310100
51240334230042
6101534443200
712321543003
oct2662376420
9878380680
10382336272
1118690099a
12a8063500
13612986a6
1438ac753a
1523874c4c
hex16c9fd10

382336272 has 30 divisors (see below), whose sum is σ = 1070010942. Its totient is φ = 127445376.

The previous prime is 382336231. The next prime is 382336277. The reversal of 382336272 is 272633283.

It is a happy number.

382336272 is a `hidden beast` number, since 3 + 8 + 23 + 3 + 627 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211877136 + 170459136 = 14556^2 + 13056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (382336277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1327413 + ... + 1327700.

Almost surely, 2382336272 is an apocalyptic number.

It is an amenable number.

382336272 is an abundant number, since it is smaller than the sum of its proper divisors (687674670).

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

382336272 is a wasteful number, since it uses less digits than its factorization.

382336272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655127 (or 2655118 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 382336272 is about 19553.4209794603. The cubic root of 382336272 is about 725.7969971773.

The spelling of 382336272 in words is "three hundred eighty-two million, three hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2655113 5310226 7965339 10620452 15930678 21240904 23896017 31861356 42481808 47792034 63722712 95584068 127445424 191168136 382336272