340224 has 36 divisors (see below), whose sum is σ = 907536. Its totient is φ = 113152.

The previous prime is 340211. The next prime is 340237. The reversal of 340224 is 422043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340211) and next prime (340237).

It is a super-4 number, since 4×340224⁴ (a number of 23 digits) contains 4444 as substring.

It is a nialpdrome in base 13 and base 16.

It is an unprimeable number.

340224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547 + ... + 989.

2³⁴⁰²²⁴ 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 340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453768).

340224 is an abundant number, since it is smaller than the sum of its proper divisors (567312).

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

340224 is an equidigital number, since it uses as much as digits as its factorization.

340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 340224 is about 583.2872362739. The cubic root of 340224 is about 69.8106447040.

Adding to 340224 its reverse (422043), we get a palindrome (762267).

The spelling of 340224 in words is "three hundred forty thousand, two hundred twenty-four", and thus it is an iban number.