343344 has 40 divisors (see below), whose sum is σ = 928512. Its totient is φ = 109120.

The previous prime is 343337. The next prime is 343373. The reversal of 343344 is 443343.

343344 = 111² + 112² + ... + 133².

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 343344.

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 343344.

It is an unprimeable number.

343344 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, 949 + ... + 1259.

2³⁴³³⁴⁴ 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 343344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

343344 is an abundant number, since it is smaller than the sum of its proper divisors (585168).

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

343344 is a wasteful number, since it uses less digits than its factorization.

343344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its digits is 1728, while the sum is 21.

The square root of 343344 is about 585.9556297195. The cubic root of 343344 is about 70.0233935417.

Adding to 343344 its reverse (443343), we get a palindrome (786687).

Subtracting 343344 from its reverse (443343), we obtain a palindrome (99999).

The spelling of 343344 in words is "three hundred forty-three thousand, three hundred forty-four", and thus it is an iban number.