334000 has 40 divisors (see below), whose sum is σ = 812448. Its totient is φ = 132800.

The previous prime is 333997. The next prime is 334021. The reversal of 334000 is 433.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×334000² = 223112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam 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 7 ways as a sum of consecutive naturals, for example, 1917 + ... + 2083.

2³³⁴⁰⁰⁰ is an apocalyptic number.

334000 is the 334-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

334000 is an abundant number, since it is smaller than the sum of its proper divisors (478448).

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

334000 is a wasteful number, since it uses less digits than its factorization.

334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 334000 is about 577.9273310720. The cubic root of 334000 is about 69.3823207382.

Adding to 334000 its reverse (433), we get a palindrome (334433).

The spelling of 334000 in words is "three hundred thirty-four thousand".