30432420 has 36 divisors (see below), whose sum is σ = 92312220. Its totient is φ = 8115264.

The previous prime is 30432419. The next prime is 30432439. The reversal of 30432420 is 2423403.

It can be written as a sum of positive squares in 2 ways, for example, as 10074276 + 20358144 = 3174^2 + 4512^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×30432420³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 30432393 and 30432402.

It is a congruent number.

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, 84355 + ... + 84714.

Almost surely, 2^30432420 is an apocalyptic number.

30432420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30432420 is an abundant number, since it is smaller than the sum of its proper divisors (61879800).

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

30432420 is a wasteful number, since it uses less digits than its factorization.

30432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169084 (or 169079 counting only the distinct ones).

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

The square root of 30432420 is about 5516.5587099205. The cubic root of 30432420 is about 312.2090561427.

Adding to 30432420 its reverse (2423403), we get a palindrome (32855823).

The spelling of 30432420 in words is "thirty million, four hundred thirty-two thousand, four hundred twenty".