213308340 has 192 divisors, whose sum is σ = 718018560. Its totient is φ = 46287360.

The previous prime is 213308323. The next prime is 213308351. The reversal of 213308340 is 43803312.

213308340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213308340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010835 + ... + 1011045.

It is an arithmetic number, because the mean of its divisors is an integer number (3739680).

Almost surely, 2^213308340 is an apocalyptic number.

213308340 is a gapful number since it is divisible by the number (20) 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 213308340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359009280).

213308340 is an abundant number, since it is smaller than the sum of its proper divisors (504710220).

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

213308340 is a wasteful number, since it uses less digits than its factorization.

213308340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 213308340 is about 14605.0792534652. The cubic root of 213308340 is about 597.4972975374.

The spelling of 213308340 in words is "two hundred thirteen million, three hundred eight thousand, three hundred forty".