30414000 has 160 divisors (see below), whose sum is σ = 101439936. Its totient is φ = 7833600.

The previous prime is 30413987. The next prime is 30414023. The reversal of 30414000 is 41403.

It is a super-2 number, since 2×30414000² = 1850022792000000, which contains 22 as substring.

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

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, 221932 + ... + 222068.

Almost surely, 2^30414000 is an apocalyptic number.

30414000 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 30414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50719968).

30414000 is an abundant number, since it is smaller than the sum of its proper divisors (71025936).

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

30414000 is a wasteful number, since it uses less digits than its factorization.

30414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 30414000 is about 5514.8889381383. Note that the first 3 decimals coincide. The cubic root of 30414000 is about 312.1460525926.

Adding to 30414000 its reverse (41403), we get a palindrome (30455403).

The spelling of 30414000 in words is "thirty million, four hundred fourteen thousand".