343224 has 64 divisors (see below), whose sum is σ = 1094400. Its totient is φ = 97632.

The previous prime is 343219. The next prime is 343237. The reversal of 343224 is 422343.

343224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 = 343197 and 343206.

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 343224.

It is an unprimeable number.

343224 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 15 ways as a sum of consecutive naturals, for example, 1399 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2³⁴³²²⁴ 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 343224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547200).

343224 is an abundant number, since it is smaller than the sum of its proper divisors (751176).

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

343224 is a wasteful number, since it uses less digits than its factorization.

343224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 343224 is about 585.8532239392. The cubic root of 343224 is about 70.0152347793.

Subtracting from 343224 its sum of digits (18), we obtain a triangular number (343206 = T₈₂₈).

Adding to 343224 its reverse (422343), we get a palindrome (765567).

The spelling of 343224 in words is "three hundred forty-three thousand, two hundred twenty-four", and thus it is an iban number.