341313120 has 144 divisors (see below), whose sum is σ = 1169571312. Its totient is φ = 90639360.

The previous prime is 341313109. The next prime is 341313121. The reversal of 341313120 is 21313143.

341313120 is a `hidden beast` number, since 341 + 313 + 12 + 0 = 666.

341313120 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 (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 341313093 and 341313102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341313121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605959 + ... + 606521.

It is an arithmetic number, because the mean of its divisors is an integer number (8122023).

Almost surely, 2^341313120 is an apocalyptic number.

341313120 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 341313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584785656).

341313120 is an abundant number, since it is smaller than the sum of its proper divisors (828258192).

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

341313120 is a wasteful number, since it uses less digits than its factorization.

341313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 341313120 is about 18474.6615665890. The cubic root of 341313120 is about 698.8505762252.

Adding to 341313120 its reverse (21313143), we get a palindrome (362626263).

The spelling of 341313120 in words is "three hundred forty-one million, three hundred thirteen thousand, one hundred twenty".