30241680 has 160 divisors (see below), whose sum is σ = 109707264. Its totient is φ = 6747648.

The previous prime is 30241643. The next prime is 30241681. The reversal of 30241680 is 8614203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30241680.

It is not an unprimeable number, because it can be changed into a prime (30241681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78769 + ... + 79151.

Almost surely, 2^30241680 is an apocalyptic number.

30241680 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 30241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54853632).

30241680 is an abundant number, since it is smaller than the sum of its proper divisors (79465584).

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

30241680 is a wasteful number, since it uses less digits than its factorization.

30241680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30241680 is about 5499.2435843487. The cubic root of 30241680 is about 311.5554154421. Note that the first 3 decimals are identical.

Adding to 30241680 its reverse (8614203), we get a palindrome (38855883).

The spelling of 30241680 in words is "thirty million, two hundred forty-one thousand, six hundred eighty".