30441024 has 84 divisors (see below), whose sum is σ = 89451180. Its totient is φ = 9891840.

The previous prime is 30441017. The next prime is 30441041. The reversal of 30441024 is 42014403.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 18662400 = 3432^2 + 4320^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 30440988 and 30441006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22972 + ... + 24260.

It is an arithmetic number, because the mean of its divisors is an integer number (1064895).

Almost surely, 2^30441024 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 30441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44725590).

30441024 is an abundant number, since it is smaller than the sum of its proper divisors (59010156).

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

30441024 is a wasteful number, since it uses less digits than its factorization.

30441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1335 counting only the distinct ones).

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

The square root of 30441024 is about 5517.3384888006. The cubic root of 30441024 is about 312.2384764518.

Adding to 30441024 its reverse (42014403), we get a palindrome (72455427).

It can be divided in two parts, 304 and 41024, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 30441024 in words is "thirty million, four hundred forty-one thousand, twenty-four".