301242240 has 384 divisors, whose sum is σ = 1169532000. Its totient is φ = 73654272.

The previous prime is 301242167. The next prime is 301242241. The reversal of 301242240 is 42242103.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301242241) 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 47 ways as a sum of consecutive naturals, for example, 2021686 + ... + 2021834.

Almost surely, 2^301242240 is an apocalyptic number.

301242240 is a gapful number since it is divisible by the number (30) 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 301242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584766000).

301242240 is an abundant number, since it is smaller than the sum of its proper divisors (868289760).

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

301242240 is a wasteful number, since it uses less digits than its factorization.

301242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 301242240 is about 17356.3314096038. The cubic root of 301242240 is about 670.3556736337.

Adding to 301242240 its reverse (42242103), we get a palindrome (343484343).

The spelling of 301242240 in words is "three hundred one million, two hundred forty-two thousand, two hundred forty".