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380564361 = 32291458101
BaseRepresentation
bin10110101011101…
…111001110001001
3222112002200011100
4112223233032021
51234411024421
6101432452013
712300513042
oct2653571611
9875080140
10380564361
11185900701
12a754a009
1360ac8018
14387858c9
1523624c26
hex16aef389

380564361 has 12 divisors (see below), whose sum is σ = 568659780. Its totient is φ = 244960800.

The previous prime is 380564341. The next prime is 380564369. The reversal of 380564361 is 163465083.

380564361 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 643 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85377600 + 295186761 = 9240^2 + 17181^2 .

It is not a de Polignac number, because 380564361 - 29 = 380563849 is a prime.

It is a super-3 number, since 3×3805643613 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (380564369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728790 + ... + 729311.

It is an arithmetic number, because the mean of its divisors is an integer number (47388315).

Almost surely, 2380564361 is an apocalyptic number.

It is an amenable number.

380564361 is a deficient number, since it is larger than the sum of its proper divisors (188095419).

380564361 is a wasteful number, since it uses less digits than its factorization.

380564361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458136 (or 1458133 counting only the distinct ones).

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

The square root of 380564361 is about 19508.0588731939. The cubic root of 380564361 is about 724.6740419779.

The spelling of 380564361 in words is "three hundred eighty million, five hundred sixty-four thousand, three hundred sixty-one".

Divisors: 1 3 9 29 87 261 1458101 4374303 13122909 42284929 126854787 380564361