334416 has 20 divisors (see below), whose sum is σ = 864032. Its totient is φ = 111456.

The previous prime is 334403. The next prime is 334421. The reversal of 334416 is 614433.

It is a super-2 number, since 2×334416² = 223668122112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 334392 and 334401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3436 + ... + 3531.

2³³⁴⁴¹⁶ is an apocalyptic number.

It is an amenable number.

334416 is an abundant number, since it is smaller than the sum of its proper divisors (529616).

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

334416 is a wasteful number, since it uses less digits than its factorization.

334416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978 (or 6972 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 334416 is about 578.2871259158. The cubic root of 334416 is about 69.4111142218.

Adding to 334416 its reverse (614433), we get a palindrome (948849).

The spelling of 334416 in words is "three hundred thirty-four thousand, four hundred sixteen".