342426240 has 384 divisors, whose sum is σ = 1353315600. Its totient is φ = 79036416.

The previous prime is 342426209. The next prime is 342426241. The reversal of 342426240 is 42624243.

342426240 is a `hidden beast` number, since 34 + 2 + 4 + 2 + 624 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52881984 + 289544256 = 7272^2 + 17016^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (342426241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272826 + ... + 1273094.

Almost surely, 2^342426240 is an apocalyptic number.

342426240 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 342426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676657800).

342426240 is an abundant number, since it is smaller than the sum of its proper divisors (1010889360).

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

342426240 is a wasteful number, since it uses less digits than its factorization.

342426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 342426240 is about 18504.7626301987. The cubic root of 342426240 is about 699.6094692378.

The spelling of 342426240 in words is "three hundred forty-two million, four hundred twenty-six thousand, two hundred forty".