338100414 has 16 divisors (see below), whose sum is σ = 705601152. Its totient is φ = 107800088.

The previous prime is 338100401. The next prime is 338100431. The reversal of 338100414 is 414001833.

It is a super-2 number, since 2×338100414² = 228623779893942792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1224864 + ... + 1225139.

It is an arithmetic number, because the mean of its divisors is an integer number (44100072).

Almost surely, 2^338100414 is an apocalyptic number.

338100414 is an abundant number, since it is smaller than the sum of its proper divisors (367500738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338100414 is a wasteful number, since it uses less digits than its factorization.

338100414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450031.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 338100414 is about 18387.5070088362. The cubic root of 338100414 is about 696.6509508091.

The spelling of 338100414 in words is "three hundred thirty-eight million, one hundred thousand, four hundred fourteen".