341253680 has 80 divisors (see below), whose sum is σ = 838874880. Its totient is φ = 128745216.

The previous prime is 341253677. The next prime is 341253683. The reversal of 341253680 is 86352143.

It is an interprime number because it is at equal distance from previous prime (341253677) and next prime (341253683).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×341253680² = 232908148227084800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (341253683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 527117 + ... + 527763.

It is an arithmetic number, because the mean of its divisors is an integer number (10485936).

Almost surely, 2^341253680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419437440).

341253680 is an abundant number, since it is smaller than the sum of its proper divisors (497621200).

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

341253680 is a wasteful number, since it uses less digits than its factorization.

341253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 341253680 is about 18473.0528067236. The cubic root of 341253680 is about 698.8100053755.

The spelling of 341253680 in words is "three hundred forty-one million, two hundred fifty-three thousand, six hundred eighty".