340633440 has 288 divisors, whose sum is σ = 1358622720. Its totient is φ = 76096512.

The previous prime is 340633439. The next prime is 340633441. The reversal of 340633440 is 44336043.

It is an interprime number because it is at equal distance from previous prime (340633439) and next prime (340633441).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×340633440² = 232062280892467200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340633441) 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, 473401 + ... + 474119.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^340633440 is an apocalyptic number.

340633440 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 340633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

340633440 is an abundant number, since it is smaller than the sum of its proper divisors (1017989280).

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

340633440 is a wasteful number, since it uses less digits than its factorization.

340633440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 340633440 is about 18456.2574754472. The cubic root of 340633440 is about 698.3863784183.

Adding to 340633440 its reverse (44336043), we get a palindrome (384969483).

The spelling of 340633440 in words is "three hundred forty million, six hundred thirty-three thousand, four hundred forty".