Base | Representation |
---|---|
bin | 100111011010… |
… | …111101000000 |
3 | 201110000121100 |
4 | 213122331000 |
5 | 10121142031 |
6 | 1005254400 |
7 | 153560220 |
oct | 47327500 |
9 | 21400540 |
10 | 10334016 |
11 | 5919110 |
12 | 3564400 |
13 | 21aa904 |
14 | 1530080 |
15 | d91de6 |
hex | 9daf40 |
10334016 has 168 divisors, whose sum is σ = 37088064. Its totient is φ = 2672640.
The previous prime is 10334003. The next prime is 10334041. The reversal of 10334016 is 61043301.
10334016 is digitally balanced in base 2 and base 4, because in such bases 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 (168).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 10334016.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44236 + ... + 44468.
Almost surely, 210334016 is an apocalyptic number.
10334016 is a gapful number since it is divisible by the number (16) 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 10334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544032).
10334016 is an abundant number, since it is smaller than the sum of its proper divisors (26754048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10334016 is a wasteful number, since it uses less digits than its factorization.
10334016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 269 (or 256 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 10334016 is about 3214.6564357642. The cubic root of 10334016 is about 217.8159656605.
Adding to 10334016 its reverse (61043301), we get a palindrome (71377317).
The spelling of 10334016 in words is "ten million, three hundred thirty-four thousand, sixteen".
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