234349920 has 288 divisors, whose sum is σ = 930279168. Its totient is φ = 52614144.

The previous prime is 234349901. The next prime is 234349939. The reversal of 234349920 is 29943432.

It is an interprime number because it is at equal distance from previous prime (234349901) and next prime (234349939).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675187 + ... + 675533.

It is an arithmetic number, because the mean of its divisors is an integer number (3230136).

Almost surely, 2^234349920 is an apocalyptic number.

234349920 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 234349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465139584).

234349920 is an abundant number, since it is smaller than the sum of its proper divisors (695929248).

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

234349920 is a wasteful number, since it uses less digits than its factorization.

234349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 234349920 is about 15308.4917611109. The cubic root of 234349920 is about 616.5310257630.

The spelling of 234349920 in words is "two hundred thirty-four million, three hundred forty-nine thousand, nine hundred twenty".