234215040 has 128 divisors (see below), whose sum is σ = 751536000. Its totient is φ = 62042112.

The previous prime is 234215039. The next prime is 234215041. The reversal of 234215040 is 40512432.

234215040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234215039) and next prime (234215041).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 234214998 and 234215016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234215041) 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, 381774 + ... + 382386.

It is an arithmetic number, because the mean of its divisors is an integer number (5871375).

Almost surely, 2^234215040 is an apocalyptic number.

234215040 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 234215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375768000).

234215040 is an abundant number, since it is smaller than the sum of its proper divisors (517320960).

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

234215040 is a wasteful number, since it uses less digits than its factorization.

234215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 234215040 is about 15304.0857289810. The cubic root of 234215040 is about 616.4127216708.

Adding to 234215040 its reverse (40512432), we get a palindrome (274727472).

The spelling of 234215040 in words is "two hundred thirty-four million, two hundred fifteen thousand, forty".