Base | Representation |
---|---|
bin | 10100010101001… |
… | …101111010010000 |
3 | 212202211222220102 |
4 | 110111031322100 |
5 | 1144310400240 |
6 | 53503031532 |
7 | 11311233032 |
oct | 2425157220 |
9 | 782758812 |
10 | 341106320 |
11 | 165600255 |
12 | 9629b5a8 |
13 | 55891079 |
14 | 33433c52 |
15 | 1ee2d815 |
hex | 1454de90 |
341106320 has 80 divisors (see below), whose sum is σ = 810416880. Its totient is φ = 133496832.
The previous prime is 341106319. The next prime is 341106329. The reversal of 341106320 is 23601143.
It can be written as a sum of positive squares in 8 ways, for example, as 96746896 + 244359424 = 9836^2 + 15632^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 341106292 and 341106301.
It is not an unprimeable number, because it can be changed into a prime (341106329) 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, 876686 + ... + 877074.
It is an arithmetic number, because the mean of its divisors is an integer number (10130211).
Almost surely, 2341106320 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 341106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405208440).
341106320 is an abundant number, since it is smaller than the sum of its proper divisors (469310560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
341106320 is a wasteful number, since it uses less digits than its factorization.
341106320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 612 (or 606 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
The square root of 341106320 is about 18469.0638636613. The cubic root of 341106320 is about 698.7094042935.
Adding to 341106320 its reverse (23601143), we get a palindrome (364707463).
The spelling of 341106320 in words is "three hundred forty-one million, one hundred six thousand, three hundred twenty".
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