306422144 has 64 divisors (see below), whose sum is σ = 738732960. Its totient is φ = 123592704.

The previous prime is 306422141. The next prime is 306422147. The reversal of 306422144 is 441224603.

306422144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (306422141) and next prime (306422147).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306422141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5174 + ... + 25290.

Almost surely, 2^306422144 is an apocalyptic number.

306422144 is a gapful number since it is divisible by the number (34) 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 306422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369366480).

306422144 is an abundant number, since it is smaller than the sum of its proper divisors (432310816).

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

306422144 is a wasteful number, since it uses less digits than its factorization.

306422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20155 (or 20143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 306422144 is about 17504.9177090325. The cubic root of 306422144 is about 674.1761464079.

Adding to 306422144 its reverse (441224603), we get a palindrome (747646747).

The spelling of 306422144 in words is "three hundred six million, four hundred twenty-two thousand, one hundred forty-four".