340324224 has 128 divisors (see below), whose sum is σ = 983728800. Its totient is φ = 103809024.

The previous prime is 340324223. The next prime is 340324249. The reversal of 340324224 is 422423043.

340324224 = T₁₁₇ + T₁₁₈ + ... + T₁₂₆₈.

340324224 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 340324194 and 340324203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340324223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240832 + ... + 242240.

Almost surely, 2^340324224 is an apocalyptic number.

340324224 is a gapful number since it is divisible by the number (34) 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 340324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491864400).

340324224 is an abundant number, since it is smaller than the sum of its proper divisors (643404576).

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

340324224 is a wasteful number, since it uses less digits than its factorization.

340324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 340324224 is about 18447.8785772240. The cubic root of 340324224 is about 698.1749902662.

Adding to 340324224 its reverse (422423043), we get a palindrome (762747267).

The spelling of 340324224 in words is "three hundred forty million, three hundred twenty-four thousand, two hundred twenty-four".