234240000 has 240 divisors, whose sum is σ = 793152360. Its totient is φ = 61440000.

The previous prime is 234239959. The next prime is 234240001. The reversal of 234240000 is 42432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234240001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839970 + ... + 3840030.

Almost surely, 2^234240000 is an apocalyptic number.

234240000 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 234240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396576180).

234240000 is an abundant number, since it is smaller than the sum of its proper divisors (558912360).

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

234240000 is an frugal number, since it uses more digits than its factorization.

234240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 234240000 is about 15304.9011757672. The cubic root of 234240000 is about 616.4346176672.

Adding to 234240000 its reverse (42432), we get a palindrome (234282432).

The spelling of 234240000 in words is "two hundred thirty-four million, two hundred forty thousand".