340983360 has 168 divisors, whose sum is σ = 1180755576. Its totient is φ = 90316800.

The previous prime is 340983341. The next prime is 340983389. The reversal of 340983360 is 63389043.

It can be written as a sum of positive squares in 4 ways, for example, as 185831424 + 155151936 = 13632^2 + 12456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 567060 + ... + 567660.

It is an arithmetic number, because the mean of its divisors is an integer number (7028307).

Almost surely, 2^340983360 is an apocalyptic number.

340983360 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 340983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590377788).

340983360 is an abundant number, since it is smaller than the sum of its proper divisors (839772216).

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

340983360 is a wasteful number, since it uses less digits than its factorization.

340983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 340983360 is about 18465.7347538624. The cubic root of 340983360 is about 698.6254386513.

The spelling of 340983360 in words is "three hundred forty million, nine hundred eighty-three thousand, three hundred sixty".