30007424 has 32 divisors (see below), whose sum is σ = 60690000. Its totient is φ = 14775552.

The previous prime is 30007423. The next prime is 30007469. The reversal of 30007424 is 42470003.

30007424 = 282² + 283² + ... + 482².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 30007396 and 30007405.

It is not an unprimeable number, because it can be changed into a prime (30007423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6827 + ... + 10325.

Almost surely, 2^30007424 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 30007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30345000).

30007424 is an abundant number, since it is smaller than the sum of its proper divisors (30682576).

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

30007424 is an equidigital number, since it uses as much as digits as its factorization.

30007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 30007424 is about 5477.9032485067. The cubic root of 30007424 is about 310.7488796971.

Adding to 30007424 its reverse (42470003), we get a palindrome (72477427).

The spelling of 30007424 in words is "thirty million, seven thousand, four hundred twenty-four".