30304000 has 72 divisors (see below), whose sum is σ = 75570768. Its totient is φ = 12108800.

The previous prime is 30303997. The next prime is 30304003. The reversal of 30304000 is 40303.

It is an interprime number because it is at equal distance from previous prime (30303997) and next prime (30304003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30304003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31527 + ... + 32473.

It is an arithmetic number, because the mean of its divisors is an integer number (1049594).

Almost surely, 2^30304000 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 30304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37785384).

30304000 is an abundant number, since it is smaller than the sum of its proper divisors (45266768).

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

30304000 is an frugal number, since it uses more digits than its factorization.

30304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 30304000 is about 5504.9069020284. The cubic root of 30304000 is about 311.7692793499.

Adding to 30304000 its reverse (40303), we get a palindrome (30344303).

The spelling of 30304000 in words is "thirty million, three hundred four thousand".