242334240 has 192 divisors, whose sum is σ = 798336000. Its totient is φ = 61737984.

The previous prime is 242334229. The next prime is 242334241. The reversal of 242334240 is 42433242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242334240.

It is not an unprimeable number, because it can be changed into a prime (242334241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1217661 + ... + 1217859.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2^242334240 is an apocalyptic number.

242334240 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 242334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

242334240 is an abundant number, since it is smaller than the sum of its proper divisors (556001760).

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

242334240 is a wasteful number, since it uses less digits than its factorization.

242334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 242334240 is about 15567.0883597415. The cubic root of 242334240 is about 623.4547340604.

Adding to 242334240 its reverse (42433242), we get a palindrome (284767482).

It can be divided in two parts, 2423 and 34240, that added together give a palindrome (36663).

The spelling of 242334240 in words is "two hundred forty-two million, three hundred thirty-four thousand, two hundred forty".