Search a number
-
+
380309 is a prime number
BaseRepresentation
bin1011100110110010101
3201022200112
41130312111
544132214
612052405
73142526
oct1346625
9638615
10380309
1123a806
12164105
13104147
149c84d
1577a3e
hex5cd95

380309 has 2 divisors, whose sum is σ = 380310. Its totient is φ = 380308.

The previous prime is 380299. The next prime is 380311. The reversal of 380309 is 903083.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334084 + 46225 = 578^2 + 215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-380309 is a prime.

It is a Sophie Germain prime.

Together with 380311, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (380329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190154 + 190155.

It is an arithmetic number, because the mean of its divisors is an integer number (190155).

2380309 is an apocalyptic number.

It is an amenable number.

380309 is a deficient number, since it is larger than the sum of its proper divisors (1).

380309 is an equidigital number, since it uses as much as digits as its factorization.

380309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 380309 is about 616.6919814624. The cubic root of 380309 is about 72.4511918815.

The spelling of 380309 in words is "three hundred eighty thousand, three hundred nine".