30005340 has 96 divisors (see below), whose sum is σ = 92897280. Its totient is φ = 7197696.

The previous prime is 30005321. The next prime is 30005359. The reversal of 30005340 is 4350003.

It is an interprime number because it is at equal distance from previous prime (30005321) and next prime (30005359).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22821 + ... + 24099.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 2^30005340 is an apocalyptic number.

30005340 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 30005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

30005340 is an abundant number, since it is smaller than the sum of its proper divisors (62891940).

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

30005340 is a wasteful number, since it uses less digits than its factorization.

30005340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 30005340 is about 5477.7130264372. The cubic root of 30005340 is about 310.7416857478.

Adding to 30005340 its reverse (4350003), we get a palindrome (34355343).

The spelling of 30005340 in words is "thirty million, five thousand, three hundred forty".