30742200 has 96 divisors (see below), whose sum is σ = 105908400. Its totient is φ = 8196480.

The previous prime is 30742199. The next prime is 30742207. The reversal of 30742200 is 224703.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30742207) 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 23 ways as a sum of consecutive naturals, for example, 2554 + ... + 8246.

Almost surely, 2^30742200 is an apocalyptic number.

30742200 is a gapful number since it is divisible by the number (30) 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 30742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52954200).

30742200 is an abundant number, since it is smaller than the sum of its proper divisors (75166200).

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

30742200 is a wasteful number, since it uses less digits than its factorization.

30742200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 30742200 is about 5544.5649062844. The cubic root of 30742200 is about 313.2648358896.

Adding to 30742200 its reverse (224703), we get a palindrome (30966903).

The spelling of 30742200 in words is "thirty million, seven hundred forty-two thousand, two hundred".