214340940 has 144 divisors (see below), whose sum is σ = 716841216. Its totient is φ = 51408000.

The previous prime is 214340911. The next prime is 214340941. The reversal of 214340940 is 49043412.

214340940 is a `hidden beast` number, since 214 + 3 + 409 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (214340941) 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 47 ways as a sum of consecutive naturals, for example, 203415 + ... + 204465.

It is an arithmetic number, because the mean of its divisors is an integer number (4978064).

Almost surely, 2^214340940 is an apocalyptic number.

214340940 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 214340940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358420608).

214340940 is an abundant number, since it is smaller than the sum of its proper divisors (502500276).

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

214340940 is a wasteful number, since it uses less digits than its factorization.

214340940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214340940 is about 14640.3872899592. The cubic root of 214340940 is about 598.4598834509.

The spelling of 214340940 in words is "two hundred fourteen million, three hundred forty thousand, nine hundred forty".