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338389321 is a prime number
BaseRepresentation
bin10100001010110…
…110100101001001
3212120201221212211
4110022312211021
51143111424241
653324505121
711246155534
oct2412664511
9776657784
10338389321
111640149a6
12953ab1a1
135514c48a
1432d27a1b
151ea93781
hex142b6949

338389321 has 2 divisors, whose sum is σ = 338389322. Its totient is φ = 338389320.

The previous prime is 338389307. The next prime is 338389327. The reversal of 338389321 is 123983833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329604025 + 8785296 = 18155^2 + 2964^2 .

It is an emirp because it is prime and its reverse (123983833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338389321 - 27 = 338389193 is a prime.

It is a super-2 number, since 2×3383893212 = 229014665133682082, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (338389327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169194660 + 169194661.

It is an arithmetic number, because the mean of its divisors is an integer number (169194661).

Almost surely, 2338389321 is an apocalyptic number.

It is an amenable number.

338389321 is a deficient number, since it is larger than the sum of its proper divisors (1).

338389321 is an equidigital number, since it uses as much as digits as its factorization.

338389321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 40.

The square root of 338389321 is about 18395.3613990049. The cubic root of 338389321 is about 696.8493238638.

The spelling of 338389321 in words is "three hundred thirty-eight million, three hundred eighty-nine thousand, three hundred twenty-one".