340800240 has 160 divisors (see below), whose sum is σ = 1160925696. Its totient is φ = 82017280.

The previous prime is 340800221. The next prime is 340800277. The reversal of 340800240 is 42008043.

It is a happy number.

It is a super-2 number, since 2×340800240² = 232289607168115200, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 440494 + ... + 441266.

Almost surely, 2^340800240 is an apocalyptic number.

340800240 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 340800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580462848).

340800240 is an abundant number, since it is smaller than the sum of its proper divisors (820125456).

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

340800240 is a wasteful number, since it uses less digits than its factorization.

340800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 340800240 is about 18460.7757150126. The cubic root of 340800240 is about 698.5003541520.

Adding to 340800240 its reverse (42008043), we get a palindrome (382808283).

The spelling of 340800240 in words is "three hundred forty million, eight hundred thousand, two hundred forty".