234516000 has 96 divisors (see below), whose sum is σ = 768313728. Its totient is φ = 62534400.

The previous prime is 234515999. The next prime is 234516001. The reversal of 234516000 is 615432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (234515999) and next prime (234516001).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (234516001) 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, 2229 + ... + 21771.

It is an arithmetic number, because the mean of its divisors is an integer number (8003268).

Almost surely, 2^234516000 is an apocalyptic number.

234516000 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 234516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384156864).

234516000 is an abundant number, since it is smaller than the sum of its proper divisors (533797728).

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

234516000 is a wasteful number, since it uses less digits than its factorization.

234516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19571 (or 19553 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 234516000 is about 15313.9152407214. The cubic root of 234516000 is about 616.6766332291.

The spelling of 234516000 in words is "two hundred thirty-four million, five hundred sixteen thousand".