Base | Representation |
---|---|
bin | 1100100001111111… |
… | …1101111101010000 |
3 | 22200102121221021100 |
4 | 3020133331331100 |
5 | 23342114322230 |
6 | 1313442224400 |
7 | 146234012265 |
oct | 31037757520 |
9 | 8612557240 |
10 | 3363823440 |
11 | 147687737a |
12 | 79a655100 |
13 | 417b9a693 |
14 | 23ca7126c |
15 | 14a4ad660 |
hex | c87fdf50 |
3363823440 has 240 divisors, whose sum is σ = 11593865088. Its totient is φ = 873759744.
The previous prime is 3363823427. The next prime is 3363823447. The reversal of 3363823440 is 443283633.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×33638234402 = 22630616270986867200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3363823395 and 3363823404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3363823447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4968382 + ... + 4969058.
Almost surely, 23363823440 is an apocalyptic number.
3363823440 is a gapful number since it is divisible by the number (30) 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 3363823440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796932544).
3363823440 is an abundant number, since it is smaller than the sum of its proper divisors (8230041648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3363823440 is a wasteful number, since it uses less digits than its factorization.
3363823440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 866 (or 857 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 36.
The square root of 3363823440 is about 57998.4779110625. The cubic root of 3363823440 is about 1498.3423822103.
The spelling of 3363823440 in words is "three billion, three hundred sixty-three million, eight hundred twenty-three thousand, four hundred forty".
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