30201984 has 96 divisors (see below), whose sum is σ = 90221040. Its totient is φ = 10056960.

The previous prime is 30201973. The next prime is 30201989. The reversal of 30201984 is 48910203.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30201989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30619 + ... + 31589.

Almost surely, 2^30201984 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 30201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45110520).

30201984 is an abundant number, since it is smaller than the sum of its proper divisors (60019056).

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

30201984 is an frugal number, since it uses more digits than its factorization.

30201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30201984 is about 5495.6331755313. The cubic root of 30201984 is about 311.4190372270.

The spelling of 30201984 in words is "thirty million, two hundred one thousand, nine hundred eighty-four".