Base | Representation |
---|---|
bin | 101101011111100… |
… | …010011110000000 |
3 | 1222012011201200212 |
4 | 231133202132000 |
5 | 3030342223433 |
6 | 203422533252 |
7 | 24625311260 |
oct | 5537423600 |
9 | 1865151625 |
10 | 763242368 |
11 | 361915319 |
12 | 193737228 |
13 | c2183105 |
14 | 7351b7a0 |
15 | 47015d48 |
hex | 2d7e2780 |
763242368 has 64 divisors (see below), whose sum is σ = 1749708000. Its totient is φ = 324851712.
The previous prime is 763242367. The next prime is 763242377. The reversal of 763242368 is 863242367.
763242368 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 (64).
It is a super-3 number, since 3×7632423683 (a number of 28 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (763242367) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130646 + ... + 136362.
Almost surely, 2763242368 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 763242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874854000).
763242368 is an abundant number, since it is smaller than the sum of its proper divisors (986465632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
763242368 is a wasteful number, since it uses less digits than its factorization.
763242368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5887 (or 5875 counting only the distinct ones).
The product of its digits is 290304, while the sum is 41.
The square root of 763242368 is about 27626.8414408886. The cubic root of 763242368 is about 913.8764586504.
Subtracting 763242368 from its reverse (863242367), we obtain a palindrome (99999999).
The spelling of 763242368 in words is "seven hundred sixty-three million, two hundred forty-two thousand, three hundred sixty-eight".
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