338305263 has 8 divisors (see below), whose sum is σ = 465624576. Its totient is φ = 218261400.

The previous prime is 338305249. The next prime is 338305283. The reversal of 338305263 is 362503833.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338305263 - 2⁸ = 338305007 is a prime.

It is a super-2 number, since 2×338305263² = 228900901946998338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338305283) 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 in 7 ways as a sum of consecutive naturals, for example, 1818753 + ... + 1818938.

It is an arithmetic number, because the mean of its divisors is an integer number (58203072).

Almost surely, 2^338305263 is an apocalyptic number.

338305263 is a deficient number, since it is larger than the sum of its proper divisors (127319313).

338305263 is a wasteful number, since it uses less digits than its factorization.

338305263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637725.

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 338305263 is about 18393.0764963342. The cubic root of 338305263 is about 696.7916185249.

It can be divided in two parts, 33830 and 5263, that added together give a palindrome (39093).

The spelling of 338305263 in words is "three hundred thirty-eight million, three hundred five thousand, two hundred sixty-three".