Search a number
-
+
238672309 is a prime number
BaseRepresentation
bin11100011100111…
…01100110110101
3121122002210212011
432032131212311
5442100003214
635403324221
75625452431
oct1616354665
9548083764
10238672309
111127a7047
1267b20671
133a5a7725
14239ab9c1
1515e47ac4
hexe39d9b5

238672309 has 2 divisors, whose sum is σ = 238672310. Its totient is φ = 238672308.

The previous prime is 238672289. The next prime is 238672337. The reversal of 238672309 is 903276832.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238609809 + 62500 = 15447^2 + 250^2 .

It is a cyclic number.

It is not a de Polignac number, because 238672309 - 223 = 230283701 is a prime.

It is a super-3 number, since 3×2386723093 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (238670309) 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 as a sum of consecutive naturals, namely, 119336154 + 119336155.

It is an arithmetic number, because the mean of its divisors is an integer number (119336155).

Almost surely, 2238672309 is an apocalyptic number.

It is an amenable number.

238672309 is a deficient number, since it is larger than the sum of its proper divisors (1).

238672309 is an equidigital number, since it uses as much as digits as its factorization.

238672309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 238672309 is about 15449.0229140875. The cubic root of 238672309 is about 620.2984246678.

The spelling of 238672309 in words is "two hundred thirty-eight million, six hundred seventy-two thousand, three hundred nine".