234313040 has 160 divisors (see below), whose sum is σ = 644021280. Its totient is φ = 78446592.

The previous prime is 234312941. The next prime is 234313043. The reversal of 234313040 is 40313432.

It can be written as a sum of positive squares in 16 ways, for example, as 19749136 + 214563904 = 4444^2 + 14648^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234313043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512492 + ... + 512948.

It is an arithmetic number, because the mean of its divisors is an integer number (4025133).

Almost surely, 2^234313040 is an apocalyptic number.

234313040 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 234313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322010640).

234313040 is an abundant number, since it is smaller than the sum of its proper divisors (409708240).

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

234313040 is a wasteful number, since it uses less digits than its factorization.

234313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 234313040 is about 15307.2871535096. The cubic root of 234313040 is about 616.4986825942.

Adding to 234313040 its reverse (40313432), we get a palindrome (274626472).

The spelling of 234313040 in words is "two hundred thirty-four million, three hundred thirteen thousand, forty".