30427144 has 72 divisors (see below), whose sum is σ = 67977630. Its totient is φ = 12714240.

The previous prime is 30427123. The next prime is 30427147. The reversal of 30427144 is 44172403.

It can be written as a sum of positive squares in only one way, i.e., 22372900 + 8054244 = 4730^2 + 2838^2 .

It is a super-2 number, since 2×30427144² = 1851622183993472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30427147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 707587 + ... + 707629.

Almost surely, 2^30427144 is an apocalyptic number.

30427144 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 30427144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33988815).

30427144 is an abundant number, since it is smaller than the sum of its proper divisors (37550486).

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

30427144 is a wasteful number, since it uses less digits than its factorization.

30427144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 30427144 is about 5516.0804925237. The cubic root of 30427144 is about 312.1910127734.

Adding to 30427144 its reverse (44172403), we get a palindrome (74599547).

The spelling of 30427144 in words is "thirty million, four hundred twenty-seven thousand, one hundred forty-four".