234052000 has 192 divisors, whose sum is σ = 708873984. Its totient is φ = 73958400.

The previous prime is 234051991. The next prime is 234052009. The reversal of 234052000 is 250432.

It is an interprime number because it is at equal distance from previous prime (234051991) and next prime (234052009).

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

It is not an unprimeable number, because it can be changed into a prime (234052009) 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, 363679 + ... + 364321.

It is an arithmetic number, because the mean of its divisors is an integer number (3692052).

Almost surely, 2^234052000 is an apocalyptic number.

234052000 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 234052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354436992).

234052000 is an abundant number, since it is smaller than the sum of its proper divisors (474821984).

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

234052000 is a wasteful number, since it uses less digits than its factorization.

234052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 234052000 is about 15298.7581195338. The cubic root of 234052000 is about 616.2696576174.

The spelling of 234052000 in words is "two hundred thirty-four million, fifty-two thousand".