30348288 has 132 divisors (see below), whose sum is σ = 91009620. Its totient is φ = 9732096.

The previous prime is 30348259. The next prime is 30348289. The reversal of 30348288 is 88284303.

It is a happy number.

30348288 is a `hidden beast` number, since 30 + 348 + 288 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17040384 + 13307904 = 4128^2 + 3648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30348289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340948 + ... + 341036.

Almost surely, 2^30348288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45504810).

30348288 is an abundant number, since it is smaller than the sum of its proper divisors (60661332).

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

30348288 is a wasteful number, since it uses less digits than its factorization.

30348288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 30348288 is about 5508.9280263950. The cubic root of 30348288 is about 311.9210845778.

The spelling of 30348288 in words is "thirty million, three hundred forty-eight thousand, two hundred eighty-eight".