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63280338 = 23112101863
BaseRepresentation
bin1111000101100…
…1010011010010
311102001222022020
43301121103102
5112144432323
610140152310
71365605532
oct361312322
9142058266
1063280338
11327a1500
1219238696
13101580b4
1485934c2
15584eae3
hex3c594d2

63280338 has 48 divisors (see below), whose sum is σ = 140652288. Its totient is φ = 18964000.

The previous prime is 63280319. The next prime is 63280351. The reversal of 63280338 is 83308236.

63280338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 63280299 and 63280308.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 72895 + ... + 73757.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256).

Almost surely, 263280338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63280338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70326144).

63280338 is an abundant number, since it is smaller than the sum of its proper divisors (77371950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63280338 is a wasteful number, since it uses less digits than its factorization.

63280338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 63280338 is about 7954.8939653524. The cubic root of 63280338 is about 398.4950490745.

The spelling of 63280338 in words is "sixty-three million, two hundred eighty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 863 1111 1726 2222 2589 3333 5178 6666 9493 12221 18986 24442 28479 36663 56958 73326 87163 104423 174326 208846 261489 313269 522978 626538 958793 1917586 2876379 5752758 10546723 21093446 31640169 63280338