343008 has 48 divisors (see below), whose sum is σ = 1002960. Its totient is φ = 114048.

The previous prime is 342989. The next prime is 343019. The reversal of 343008 is 800343.

343008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

343008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (20895).

343008 is a Friedman number, since it can be written as (40+30)^3+8, using all its digits and the basic arithmetic operations.

2³⁴³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501480).

343008 is an abundant number, since it is smaller than the sum of its proper divisors (659952).

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

343008 is a wasteful number, since it uses less digits than its factorization.

343008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 343008 is about 585.6688484118. The cubic root of 343008 is about 70.0005442135. Note that the first 3 decimals are identical.

The spelling of 343008 in words is "three hundred forty-three thousand, eight".