234090000 has 375 divisors, whose sum is σ = 899366017. Its totient is φ = 58752000.

The previous prime is 234089981. The next prime is 234090007. The reversal of 234090000 is 90432.

The square root of 234090000 is 15300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 114318864 + 119771136 = 10692^2 + 10944^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (234090007) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 13769992 + ... + 13770008.

Almost surely, 2^234090000 is an apocalyptic number.

234090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

234090000 is the 15300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234090000

234090000 is an abundant number, since it is smaller than the sum of its proper divisors (665276017).

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

234090000 is an equidigital number, since it uses as much as digits as its factorization.

234090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The cubic root of 234090000 is about 616.3030077273.

The spelling of 234090000 in words is "two hundred thirty-four million, ninety thousand".