343368 has 48 divisors (see below), whose sum is σ = 982800. Its totient is φ = 108000.

The previous prime is 343337. The next prime is 343373. The reversal of 343368 is 863343.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 343368.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1243 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2³⁴³³⁶⁸ is an apocalyptic number.

343368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

343368 is an abundant number, since it is smaller than the sum of its proper divisors (639432).

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

343368 is a wasteful number, since it uses less digits than its factorization.

343368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 343368 is about 585.9761087280. The cubic root of 343368 is about 70.0250250661.

The spelling of 343368 in words is "three hundred forty-three thousand, three hundred sixty-eight".