234024320 has 64 divisors (see below), whose sum is σ = 562440240. Its totient is φ = 93112320.

The previous prime is 234024313. The next prime is 234024331. The reversal of 234024320 is 23420432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 234024292 and 234024301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134174 + ... + 135906.

Almost surely, 2^234024320 is an apocalyptic number.

234024320 is a gapful number since it is divisible by the number (20) 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 234024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281220120).

234024320 is an abundant number, since it is smaller than the sum of its proper divisors (328415920).

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

234024320 is a wasteful number, since it uses less digits than its factorization.

234024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 234024320 is about 15297.8534441928. The cubic root of 234024320 is about 616.2453624229.

Adding to 234024320 its reverse (23420432), we get a palindrome (257444752).

The spelling of 234024320 in words is "two hundred thirty-four million, twenty-four thousand, three hundred twenty".