234900 has 90 divisors (see below), whose sum is σ = 787710. Its totient is φ = 60480.

The previous prime is 234893. The next prime is 234907. The reversal of 234900 is 9432.

234900 is digitally balanced in base 2, 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 (234893) and next prime (234907).

It can be written as a sum of positive squares in 3 ways, for example, as 15876 + 219024 = 126^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234907) by changing a digit.

234900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8086 + ... + 8114.

234900 is a Friedman number, since it can be written as 2900*3^4, using all its digits and the basic arithmetic operations.

2²³⁴⁹⁰⁰ is an apocalyptic number.

234900 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 234900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393855).

234900 is an abundant number, since it is smaller than the sum of its proper divisors (552810).

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

234900 is a wasteful number, since it uses less digits than its factorization.

234900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 234900 is about 484.6648326421. The cubic root of 234900 is about 61.7013034862.

The spelling of 234900 in words is "two hundred thirty-four thousand, nine hundred".