241945344 has 108 divisors (see below), whose sum is σ = 702776256. Its totient is φ = 80050176.

The previous prime is 241945339. The next prime is 241945357. The reversal of 241945344 is 443549142.

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

It is a junction number, because it is equal to n+sod(n) for n = 241945299 and 241945308.

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 11 ways as a sum of consecutive naturals, for example, 398289 + ... + 398895.

Almost surely, 2^241945344 is an apocalyptic number.

241945344 is a gapful number since it is divisible by the number (24) 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 241945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351388128).

241945344 is an abundant number, since it is smaller than the sum of its proper divisors (460830912).

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

241945344 is a wasteful number, since it uses less digits than its factorization.

241945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 785 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 241945344 is about 15554.5923765298. The cubic root of 241945344 is about 623.1210504852.

The spelling of 241945344 in words is "two hundred forty-one million, nine hundred forty-five thousand, three hundred forty-four".