338233305 has 16 divisors (see below), whose sum is σ = 544011264. Its totient is φ = 179445120.

The previous prime is 338233297. The next prime is 338233319. The reversal of 338233305 is 503332833.

It is not a de Polignac number, because 338233305 - 2³ = 338233297 is a prime.

It is a super-2 number, since 2×338233305² = 228803537222446050, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56164 + ... + 61893.

It is an arithmetic number, because the mean of its divisors is an integer number (34000704).

Almost surely, 2^338233305 is an apocalyptic number.

It is an amenable number.

338233305 is a deficient number, since it is larger than the sum of its proper divisors (205777959).

338233305 is a wasteful number, since it uses less digits than its factorization.

338233305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118256.

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 338233305 is about 18391.1202758288. The cubic root of 338233305 is about 696.7422121730.

It can be divided in two parts, 33823 and 3305, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 338233305 in words is "three hundred thirty-eight million, two hundred thirty-three thousand, three hundred five".