30146436 has 54 divisors (see below), whose sum is σ = 77862330. Its totient is φ = 9833472.

The previous prime is 30146419. The next prime is 30146437. The reversal of 30146436 is 63464103.

30146436 is a `hidden beast` number, since 3 + 0 + 14 + 643 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 921600 + 29224836 = 960^2 + 5406^2 .

It is not an unprimeable number, because it can be changed into a prime (30146437) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 310740 + ... + 310836.

It is an arithmetic number, because the mean of its divisors is an integer number (1441895).

Almost surely, 2^30146436 is an apocalyptic number.

30146436 is a gapful number since it is divisible by the number (36) 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 30146436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38931165).

30146436 is an abundant number, since it is smaller than the sum of its proper divisors (47715894).

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

30146436 is a wasteful number, since it uses less digits than its factorization.

30146436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30146436 is about 5490.5770188569. The cubic root of 30146436 is about 311.2279976705.

The spelling of 30146436 in words is "thirty million, one hundred forty-six thousand, four hundred thirty-six".