30818340 has 192 divisors, whose sum is σ = 113541120. Its totient is φ = 6791040.

The previous prime is 30818303. The next prime is 30818341. The reversal of 30818340 is 4381803.

30818340 is a `hidden beast` number, since 308 + 18 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30818341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117049 + ... + 117311.

It is an arithmetic number, because the mean of its divisors is an integer number (591360).

Almost surely, 2^30818340 is an apocalyptic number.

30818340 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 30818340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56770560).

30818340 is an abundant number, since it is smaller than the sum of its proper divisors (82722780).

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

30818340 is a wasteful number, since it uses less digits than its factorization.

30818340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30818340 is about 5551.4268436142. The cubic root of 30818340 is about 313.5232463704.

The spelling of 30818340 in words is "thirty million, eight hundred eighteen thousand, three hundred forty".