234034920 has 320 divisors, whose sum is σ = 953441280. Its totient is φ = 50264064.

The previous prime is 234034891. The next prime is 234034921. The reversal of 234034920 is 29430432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (234034921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 385257 + ... + 385863.

It is an arithmetic number, because the mean of its divisors is an integer number (2979504).

Almost surely, 2^234034920 is an apocalyptic number.

234034920 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 234034920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476720640).

234034920 is an abundant number, since it is smaller than the sum of its proper divisors (719406360).

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

234034920 is a wasteful number, since it uses less digits than its factorization.

234034920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 234034920 is about 15298.1998941052. The cubic root of 234034920 is about 616.2546664448.

The spelling of 234034920 in words is "two hundred thirty-four million, thirty-four thousand, nine hundred twenty".