342311040 has 192 divisors, whose sum is σ = 1201037760. Its totient is φ = 89819136.

The previous prime is 342311033. The next prime is 342311051. The reversal of 342311040 is 40113243.

342311040 = 123² + 124² + ... + 1009².

342311040 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 (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385477 + ... + 386363.

It is an arithmetic number, because the mean of its divisors is an integer number (6255405).

Almost surely, 2^342311040 is an apocalyptic number.

342311040 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 342311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600518880).

342311040 is an abundant number, since it is smaller than the sum of its proper divisors (858726720).

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

342311040 is a wasteful number, since it uses less digits than its factorization.

342311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342311040 is about 18501.6496561793. The cubic root of 342311040 is about 699.5310055755.

Adding to 342311040 its reverse (40113243), we get a palindrome (382424283).

The spelling of 342311040 in words is "three hundred forty-two million, three hundred eleven thousand, forty".