338414 has 8 divisors (see below), whose sum is σ = 520128. Its totient is φ = 165040.

The previous prime is 338413. The next prime is 338423. The reversal of 338414 is 414833.

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

It is a super-2 number, since 2×338414² = 229048070792, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 338414.

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 338414.

It is not an unprimeable number, because it can be changed into a prime (338411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1982 + ... + 2145.

It is an arithmetic number, because the mean of its divisors is an integer number (65016).

2³³⁸⁴¹⁴ is an apocalyptic number.

338414 is a deficient number, since it is larger than the sum of its proper divisors (181714).

338414 is a wasteful number, since it uses less digits than its factorization.

338414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170.

The product of its digits is 1152, while the sum is 23.

The square root of 338414 is about 581.7336160134. The cubic root of 338414 is about 69.6866264042.

The spelling of 338414 in words is "three hundred thirty-eight thousand, four hundred fourteen".