243542000 has 320 divisors, whose sum is σ = 731203200. Its totient is φ = 77414400.

The previous prime is 243541993. The next prime is 243542027. The reversal of 243542000 is 245342.

It is a super-3 number, since 3×243542000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8397986 + ... + 8398014.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^243542000 is an apocalyptic number.

243542000 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 243542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

243542000 is an abundant number, since it is smaller than the sum of its proper divisors (487661200).

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

243542000 is a wasteful number, since it uses less digits than its factorization.

243542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 243542000 is about 15605.8322431071. The cubic root of 243542000 is about 624.4887552535.

Adding to 243542000 its reverse (245342), we get a palindrome (243787342).

The spelling of 243542000 in words is "two hundred forty-three million, five hundred forty-two thousand".