30423200 has 72 divisors (see below), whose sum is σ = 78674652. Its totient is φ = 11448320.

The previous prime is 30423191. The next prime is 30423229. The reversal of 30423200 is 232403.

It can be written as a sum of positive squares in 6 ways, for example, as 20106256 + 10316944 = 4484^2 + 3212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12482 + ... + 14718.

Almost surely, 2^30423200 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 30423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39337326).

30423200 is an abundant number, since it is smaller than the sum of its proper divisors (48251452).

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

30423200 is a wasteful number, since it uses less digits than its factorization.

30423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 30423200 is about 5515.7229807161. The cubic root of 30423200 is about 312.1775233426.

Adding to 30423200 its reverse (232403), we get a palindrome (30655603).

It can be divided in two parts, 3042 and 3200, that multiplied together give a square (9734400 = 3120²).

The spelling of 30423200 in words is "thirty million, four hundred twenty-three thousand, two hundred".