340122240 has 208 divisors, whose sum is σ = 1219656330. Its totient is φ = 90699264.

The previous prime is 340122239. The next prime is 340122269. The reversal of 340122240 is 42221043.

340122240 is a `hidden beast` number, since 3 + 401 + 22 + 240 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306110016 + 34012224 = 17496^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 68024446 + ... + 68024450.

Almost surely, 2^340122240 is an apocalyptic number.

340122240 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 340122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609828165).

340122240 is an abundant number, since it is smaller than the sum of its proper divisors (879534090).

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

340122240 is an frugal number, since it uses more digits than its factorization.

340122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 340122240 is about 18442.4033141020. The cubic root of 340122240 is about 698.0368395703.

Adding to 340122240 its reverse (42221043), we get a palindrome (382343283).

The spelling of 340122240 in words is "three hundred forty million, one hundred twenty-two thousand, two hundred forty".