30193800 has 288 divisors, whose sum is σ = 118742400. Its totient is φ = 6289920.

The previous prime is 30193799. The next prime is 30193811. The reversal of 30193800 is 839103.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 71 ways as a sum of consecutive naturals, for example, 382161 + ... + 382239.

It is an arithmetic number, because the mean of its divisors is an integer number (412300).

Almost surely, 2^30193800 is an apocalyptic number.

30193800 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 30193800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

30193800 is an abundant number, since it is smaller than the sum of its proper divisors (88548600).

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

30193800 is a wasteful number, since it uses less digits than its factorization.

30193800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 30193800 is about 5494.8885339013. Note that the first 3 decimals coincide. The cubic root of 30193800 is about 311.3909057016.

The spelling of 30193800 in words is "thirty million, one hundred ninety-three thousand, eight hundred".