30234024 has 72 divisors (see below), whose sum is σ = 87043710. Its totient is φ = 9478656.

The previous prime is 30234023. The next prime is 30234067. The reversal of 30234024 is 42043203.

30234024 is a `hidden beast` number, since 302 + 340 + 24 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28836900 + 1397124 = 5370^2 + 1182^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×30234024³ (a number of 23 digits) contains 333 as substring.

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 = 30233988 and 30234006.

It is not an unprimeable number, because it can be changed into a prime (30234023) 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 17 ways as a sum of consecutive naturals, for example, 20082 + ... + 21534.

Almost surely, 2^30234024 is an apocalyptic number.

30234024 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 30234024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43521855).

30234024 is an abundant number, since it is smaller than the sum of its proper divisors (56809686).

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

30234024 is a wasteful number, since it uses less digits than its factorization.

30234024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30234024 is about 5498.5474445530. The cubic root of 30234024 is about 311.5291220442.

Adding to 30234024 its reverse (42043203), we get a palindrome (72277227).

The spelling of 30234024 in words is "thirty million, two hundred thirty-four thousand, twenty-four".