243314234000 has 160 divisors (see below), whose sum is σ = 644425048800. Its totient is φ = 88441651200.

The previous prime is 243314233963. The next prime is 243314234003. The reversal of 243314234000 is 432413342.

It can be written as a sum of positive squares in 16 ways, for example, as 129199989136 + 114114244864 = 359444^2 + 337808^2 .

It is not an unprimeable number, because it can be changed into a prime (243314234003) 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, 862616 + ... + 1109384.

It is an arithmetic number, because the mean of its divisors is an integer number (4027656555).

Almost surely, 2^243314234000 is an apocalyptic number.

243314234000 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 243314234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322212524400).

243314234000 is an abundant number, since it is smaller than the sum of its proper divisors (401110814800).

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

243314234000 is a wasteful number, since it uses less digits than its factorization.

243314234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246838 (or 246822 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 243314234000 its reverse (432413342), we get a palindrome (243746647342).

The spelling of 243314234000 in words is "two hundred forty-three billion, three hundred fourteen million, two hundred thirty-four thousand".