234124000 has 192 divisors, whose sum is σ = 666574272. Its totient is φ = 79872000.

The previous prime is 234123943. The next prime is 234124003. The reversal of 234124000 is 421432.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234124003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747844 + ... + 748156.

It is an arithmetic number, because the mean of its divisors is an integer number (3471741).

Almost surely, 2^234124000 is an apocalyptic number.

234124000 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 234124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333287136).

234124000 is an abundant number, since it is smaller than the sum of its proper divisors (432450272).

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

234124000 is a wasteful number, since it uses less digits than its factorization.

234124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 234124000 is about 15301.1110707687. Note that the first 3 decimals coincide. The cubic root of 234124000 is about 616.3328442401.

Adding to 234124000 its reverse (421432), we get a palindrome (234545432).

The spelling of 234124000 in words is "two hundred thirty-four million, one hundred twenty-four thousand".