301042144 has 96 divisors (see below), whose sum is σ = 662981760. Its totient is φ = 133681152.

The previous prime is 301042141. The next prime is 301042163. The reversal of 301042144 is 441240103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301042141) 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 15 ways as a sum of consecutive naturals, for example, 1740042 + ... + 1740214.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2^301042144 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 301042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331490880).

301042144 is an abundant number, since it is smaller than the sum of its proper divisors (361939616).

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

301042144 is a wasteful number, since it uses less digits than its factorization.

301042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 301042144 is about 17350.5661002747. The cubic root of 301042144 is about 670.2072159240.

Adding to 301042144 its reverse (441240103), we get a palindrome (742282247).

It can be divided in two parts, 3010 and 42144, that added together give a palindrome (45154).

The spelling of 301042144 in words is "three hundred one million, forty-two thousand, one hundred forty-four".