Base | Representation |
---|---|
bin | 1010000000111011111… |
… | …10001110000010000000 |
3 | 1012220011221021222222211 |
4 | 11000131332032002000 |
5 | 21114204124431334 |
6 | 422024422111504 |
7 | 33601060503250 |
oct | 5003576160200 |
9 | 1186157258884 |
10 | 344100233344 |
11 | 122a2867a33a |
12 | 5683257b594 |
13 | 265aa4c863a |
14 | 129240b5960 |
15 | 8e3e119a64 |
hex | 501df8e080 |
344100233344 has 128 divisors (see below), whose sum is σ = 803067281280. Its totient is φ = 143789506560.
The previous prime is 344100233341. The next prime is 344100233377. The reversal of 344100233344 is 443332001443.
It is a tau number, because it is divible by the number of its divisors (128).
It is not an unprimeable number, because it can be changed into a prime (344100233341) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22839574 + ... + 22854634.
It is an arithmetic number, because the mean of its divisors is an integer number (6273963135).
Almost surely, 2344100233344 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 344100233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401533640640).
344100233344 is an abundant number, since it is smaller than the sum of its proper divisors (458967047936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344100233344 is a wasteful number, since it uses less digits than its factorization.
344100233344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15718 (or 15706 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 31.
Adding to 344100233344 its reverse (443332001443), we get a palindrome (787432234787).
The spelling of 344100233344 in words is "three hundred forty-four billion, one hundred million, two hundred thirty-three thousand, three hundred forty-four".
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