341406240 has 384 divisors, whose sum is σ = 1341204480. Its totient is φ = 71221248.

The previous prime is 341406209. The next prime is 341406251. The reversal of 341406240 is 42604143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 341406240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2456091 + ... + 2456229.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^341406240 is an apocalyptic number.

341406240 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 341406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

341406240 is an abundant number, since it is smaller than the sum of its proper divisors (999798240).

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

341406240 is a wasteful number, since it uses less digits than its factorization.

341406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 341406240 is about 18477.1816032641. The cubic root of 341406240 is about 698.9141259341.

The spelling of 341406240 in words is "three hundred forty-one million, four hundred six thousand, two hundred forty".