234333440 has 216 divisors, whose sum is σ = 660600360. Its totient is φ = 79298560.

The previous prime is 234333439. The next prime is 234333467. The reversal of 234333440 is 44333432.

234333440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20939776 + 213393664 = 4576^2 + 14608^2 .

It is a super-2 number, since 2×234333440² = 109824322204467200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2632916 + ... + 2633004.

It is an arithmetic number, because the mean of its divisors is an integer number (3058335).

Almost surely, 2^234333440 is an apocalyptic number.

234333440 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 234333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330300180).

234333440 is an abundant number, since it is smaller than the sum of its proper divisors (426266920).

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

234333440 is a wasteful number, since it uses less digits than its factorization.

234333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

The square root of 234333440 is about 15307.9534883014. The cubic root of 234333440 is about 616.5165734866.

Adding to 234333440 its reverse (44333432), we get a palindrome (278666872).

The spelling of 234333440 in words is "two hundred thirty-four million, three hundred thirty-three thousand, four hundred forty".