241731936 has 144 divisors (see below), whose sum is σ = 720588960. Its totient is φ = 76769280.

The previous prime is 241731899. The next prime is 241731937. The reversal of 241731936 is 639137142.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 241731936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241731937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860116 + ... + 860396.

It is an arithmetic number, because the mean of its divisors is an integer number (5004090).

Almost surely, 2^241731936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241731936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360294480).

241731936 is an abundant number, since it is smaller than the sum of its proper divisors (478857024).

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

241731936 is a wasteful number, since it uses less digits than its factorization.

241731936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 241731936 is about 15547.7308955358. The cubic root of 241731936 is about 622.9377885245.

The spelling of 241731936 in words is "two hundred forty-one million, seven hundred thirty-one thousand, nine hundred thirty-six".