Base | Representation |
---|---|
bin | 10100100001001… |
… | …000100010000000 |
3 | 212222201200210212 |
4 | 110201020202000 |
5 | 1201110330031 |
6 | 54054013252 |
7 | 11346623024 |
oct | 2441104200 |
9 | 788650725 |
10 | 344230016 |
11 | 167344119 |
12 | 97347228 |
13 | 56415b00 |
14 | 33a08384 |
15 | 2034912b |
hex | 14848880 |
344230016 has 48 divisors (see below), whose sum is σ = 742626810. Its totient is φ = 158865408.
The previous prime is 344229961. The next prime is 344230031. The reversal of 344230016 is 610032443.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 229825600 + 114404416 = 15160^2 + 10696^2 .
It is a junction number, because it is equal to n+sod(n) for n = 344229973 and 344230000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13676 + ... + 29588.
Almost surely, 2344230016 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 344230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371313405).
344230016 is an abundant number, since it is smaller than the sum of its proper divisors (398396794).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344230016 is a wasteful number, since it uses less digits than its factorization.
344230016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15953 (or 15928 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 23.
The square root of 344230016 is about 18553.4367705824. The cubic root of 344230016 is about 700.8357473616.
Adding to 344230016 its reverse (610032443), we get a palindrome (954262459).
The spelling of 344230016 in words is "three hundred forty-four million, two hundred thirty thousand, sixteen".
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