30340800 has 378 divisors, whose sum is σ = 128361948. Its totient is φ = 6773760.

The previous prime is 30340789. The next prime is 30340823. The reversal of 30340800 is 804303.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705579 + ... + 705621.

Almost surely, 2^30340800 is an apocalyptic number.

30340800 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 30340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64180974).

30340800 is an abundant number, since it is smaller than the sum of its proper divisors (98021148).

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

30340800 is a wasteful number, since it uses less digits than its factorization.

30340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30340800 is about 5508.2483604137. The cubic root of 30340800 is about 311.8954284660.

The spelling of 30340800 in words is "thirty million, three hundred forty thousand, eight hundred".