30348000 has 192 divisors, whose sum is σ = 110859840. Its totient is φ = 8064000.

The previous prime is 30347987. The next prime is 30348011. The reversal of 30348000 is 84303.

It is a super-2 number, since 2×30348000² = 1842002208000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107860 + ... + 108140.

It is an arithmetic number, because the mean of its divisors is an integer number (577395).

Almost surely, 2^30348000 is an apocalyptic number.

30348000 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 30348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55429920).

30348000 is an abundant number, since it is smaller than the sum of its proper divisors (80511840).

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

30348000 is a wasteful number, since it uses less digits than its factorization.

30348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

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

The square root of 30348000 is about 5508.9018869463. The cubic root of 30348000 is about 311.9200978823.

The spelling of 30348000 in words is "thirty million, three hundred forty-eight thousand".