234834000 has 80 divisors (see below), whose sum is σ = 757124160. Its totient is φ = 62620800.

The previous prime is 234833987. The next prime is 234834011. The reversal of 234834000 is 438432.

234834000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13570 + ... + 25569.

It is an arithmetic number, because the mean of its divisors is an integer number (9464052).

Almost surely, 2^234834000 is an apocalyptic number.

234834000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234834000 is an abundant number, since it is smaller than the sum of its proper divisors (522290160).

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

234834000 is a wasteful number, since it uses less digits than its factorization.

234834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39165 (or 39149 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 234834000 is about 15324.2944372653. The cubic root of 234834000 is about 616.9552419359.

The spelling of 234834000 in words is "two hundred thirty-four million, eight hundred thirty-four thousand".