234379200 has 336 divisors, whose sum is σ = 879872256. Its totient is φ = 54067200.

The previous prime is 234379183. The next prime is 234379237. The reversal of 234379200 is 2973432.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214304 + ... + 1214496.

Almost surely, 2^234379200 is an apocalyptic number.

234379200 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 234379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439936128).

234379200 is an abundant number, since it is smaller than the sum of its proper divisors (645493056).

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

234379200 is a wasteful number, since it uses less digits than its factorization.

234379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 234379200 is about 15309.4480632059. The cubic root of 234379200 is about 616.5567014373.

The spelling of 234379200 in words is "two hundred thirty-four million, three hundred seventy-nine thousand, two hundred".