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338369 is a prime number
BaseRepresentation
bin1010010100111000001
3122012011012
41102213001
541311434
611130305
72606333
oct1224701
9565135
10338369
11211249
12143995
13bb025
148b453
156a3ce
hex529c1

338369 has 2 divisors, whose sum is σ = 338370. Its totient is φ = 338368.

The previous prime is 338347. The next prime is 338383. The reversal of 338369 is 963833.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330625 + 7744 = 575^2 + 88^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-338369 is a prime.

It is a super-2 number, since 2×3383692 = 228987160322, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338369.

It is not a weakly prime, because it can be changed into another prime (338309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169184 + 169185.

It is an arithmetic number, because the mean of its divisors is an integer number (169185).

2338369 is an apocalyptic number.

It is an amenable number.

338369 is a deficient number, since it is larger than the sum of its proper divisors (1).

338369 is an equidigital number, since it uses as much as digits as its factorization.

338369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 32.

The square root of 338369 is about 581.6949372308. The cubic root of 338369 is about 69.6835374489.

It can be divided in two parts, 338 and 369, that added together give a palindrome (707).

The spelling of 338369 in words is "three hundred thirty-eight thousand, three hundred sixty-nine".