343042560 has 320 divisors, whose sum is σ = 1394553600. Its totient is φ = 78299136.

The previous prime is 343042543. The next prime is 343042571. The reversal of 343042560 is 65240343.

343042560 is a `hidden beast` number, since 34 + 30 + 42 + 560 = 666.

343042560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483486 + ... + 484194.

It is an arithmetic number, because the mean of its divisors is an integer number (4357980).

Almost surely, 2^343042560 is an apocalyptic number.

343042560 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 343042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697276800).

343042560 is an abundant number, since it is smaller than the sum of its proper divisors (1051511040).

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

343042560 is an equidigital number, since it uses as much as digits as its factorization.

343042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 343042560 is about 18521.4081538095. The cubic root of 343042560 is about 700.0289511835.

It can be divided in two parts, 34304 and 2560, that added together give a square (36864 = 192²).

The spelling of 343042560 in words is "three hundred forty-three million, forty-two thousand, five hundred sixty".