Search a number
-
+
338390369 is a prime number
BaseRepresentation
bin10100001010110…
…110110101100001
3212120202000022122
4110022312311201
51143111442434
653324514025
711246161562
oct2412666541
9776660278
10338390369
11164015769
12953ab915
135514cab5
1432d28169
151ea93c2e
hex142b6d61

338390369 has 2 divisors, whose sum is σ = 338390370. Its totient is φ = 338390368.

The previous prime is 338390347. The next prime is 338390407. The reversal of 338390369 is 963093833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288150625 + 50239744 = 16975^2 + 7088^2 .

It is a cyclic number.

It is not a de Polignac number, because 338390369 - 212 = 338386273 is a prime.

It is a super-2 number, since 2×3383903692 = 229016083663912322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338390309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169195184 + 169195185.

It is an arithmetic number, because the mean of its divisors is an integer number (169195185).

Almost surely, 2338390369 is an apocalyptic number.

It is an amenable number.

338390369 is a deficient number, since it is larger than the sum of its proper divisors (1).

338390369 is an equidigital number, since it uses as much as digits as its factorization.

338390369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 314928, while the sum is 44.

The square root of 338390369 is about 18395.3898844248. The cubic root of 338390369 is about 696.8500432495.

The spelling of 338390369 in words is "three hundred thirty-eight million, three hundred ninety thousand, three hundred sixty-nine".