234284000 has 96 divisors (see below), whose sum is σ = 591566976. Its totient is φ = 91123200.

The previous prime is 234283997. The next prime is 234284077. The reversal of 234284000 is 482432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147209 + ... + 148791.

It is an arithmetic number, because the mean of its divisors is an integer number (6162156).

Almost surely, 2^234284000 is an apocalyptic number.

234284000 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 234284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295783488).

234284000 is an abundant number, since it is smaller than the sum of its proper divisors (357282976).

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

234284000 is a wasteful number, since it uses less digits than its factorization.

234284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 234284000 is about 15306.3385562975. The cubic root of 234284000 is about 616.4732125913.

The spelling of 234284000 in words is "two hundred thirty-four million, two hundred eighty-four thousand".