30342000 has 160 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 7449600.

The previous prime is 30341981. The next prime is 30342001. The reversal of 30342000 is 24303.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30342001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77806 + ... + 78194.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 2^30342000 is an apocalyptic number.

30342000 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 30342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).

30342000 is an abundant number, since it is smaller than the sum of its proper divisors (75276240).

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

30342000 is a wasteful number, since it uses less digits than its factorization.

30342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 30342000 is about 5508.3572868869. The cubic root of 30342000 is about 311.8995403064.

Adding to 30342000 its reverse (24303), we get a palindrome (30366303).

The spelling of 30342000 in words is "thirty million, three hundred forty-two thousand".