Base | Representation |
---|---|
bin | 1111000101111… |
… | …1000101100000 |
3 | 11102010011210210 |
4 | 3301133011200 |
5 | 112201212112 |
6 | 10140454120 |
7 | 1366034601 |
oct | 361370540 |
9 | 142104723 |
10 | 63304032 |
11 | 32808290 |
12 | 1924a340 |
13 | 10165b0c |
14 | 859bda8 |
15 | 5856b3c |
hex | 3c5f160 |
63304032 has 96 divisors (see below), whose sum is σ = 182939904. Its totient is φ = 19008000.
The previous prime is 63303997. The next prime is 63304037. The reversal of 63304032 is 23040336.
63304032 is digitally balanced in base 2, 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 (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63304037) 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, 159258 + ... + 159654.
It is an arithmetic number, because the mean of its divisors is an integer number (1905624).
Almost surely, 263304032 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 63304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91469952).
63304032 is an abundant number, since it is smaller than the sum of its proper divisors (119635872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63304032 is a wasteful number, since it uses less digits than its factorization.
63304032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 572 (or 564 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 21.
The square root of 63304032 is about 7956.3830978655. The cubic root of 63304032 is about 398.5447789158.
Adding to 63304032 its reverse (23040336), we get a palindrome (86344368).
The spelling of 63304032 in words is "sixty-three million, three hundred four thousand, thirty-two".
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