30382000 has 80 divisors (see below), whose sum is σ = 80200224. Its totient is φ = 11040000.

The previous prime is 30381983. The next prime is 30382003. The reversal of 30382000 is 28303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (30382003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21310 + ... + 22690.

Almost surely, 2^30382000 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 30382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40100112).

30382000 is an abundant number, since it is smaller than the sum of its proper divisors (49818224).

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

30382000 is a wasteful number, since it uses less digits than its factorization.

30382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 30382000 is about 5511.9869375752. The cubic root of 30382000 is about 312.0365396609.

Adding to 30382000 its product of nonzero digits (144), we get a square (30382144 = 5512²).

The spelling of 30382000 in words is "thirty million, three hundred eighty-two thousand".