243111040 has 64 divisors (see below), whose sum is σ = 587097720. Its totient is φ = 96256000.

The previous prime is 243111019. The next prime is 243111073. The reversal of 243111040 is 40111342.

It can be written as a sum of positive squares in 4 ways, for example, as 233722944 + 9388096 = 15288^2 + 3064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62760 + ... + 66520.

Almost surely, 2^243111040 is an apocalyptic number.

243111040 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 243111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293548860).

243111040 is an abundant number, since it is smaller than the sum of its proper divisors (343986680).

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

243111040 is a wasteful number, since it uses less digits than its factorization.

243111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 243111040 is about 15592.0184709998. The cubic root of 243111040 is about 624.1201828560.

Adding to 243111040 its reverse (40111342), we get a palindrome (283222382).

The spelling of 243111040 in words is "two hundred forty-three million, one hundred eleven thousand, forty".