234190080 has 216 divisors, whose sum is σ = 839409480. Its totient is φ = 60211200.

The previous prime is 234190069. The next prime is 234190123. The reversal of 234190080 is 80091432.

234190080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61214976 + 172975104 = 7824^2 + 13152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333730 + ... + 334430.

It is an arithmetic number, because the mean of its divisors is an integer number (3886155).

Almost surely, 2^234190080 is an apocalyptic number.

234190080 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 234190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419704740).

234190080 is an abundant number, since it is smaller than the sum of its proper divisors (605219400).

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

234190080 is a wasteful number, since it uses less digits than its factorization.

234190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 234190080 is about 15303.2702387431. The cubic root of 234190080 is about 616.3908241187.

The spelling of 234190080 in words is "two hundred thirty-four million, one hundred ninety thousand, eighty".