| Base | Representation |
|---|---|
| bin | 1100001110111101… |
| … | …1100001101100000 |
| 3 | 22110212102011002200 |
| 4 | 3003233130031200 |
| 5 | 23211200242230 |
| 6 | 1301511213200 |
| 7 | 144244324620 |
| oct | 30357341540 |
| 9 | 8425364080 |
| 10 | 3283993440 |
| 11 | 1435801972 |
| 12 | 777977200 |
| 13 | 4044997b0 |
| 14 | 232210880 |
| 15 | 143490160 |
| hex | c3bdc360 |
3283993440 has 576 divisors, whose sum is σ = 14529715200. Its totient is φ = 655921152.
The previous prime is 3283993417. The next prime is 3283993477. The reversal of 3283993440 is 443993823.
3283993440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×32839934402 = 21569225827926067200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489101 + ... + 2490419.
It is an arithmetic number, because the mean of its divisors is an integer number (25225200).
Almost surely, 23283993440 is an apocalyptic number.
3283993440 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 3283993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264857600).
3283993440 is an abundant number, since it is smaller than the sum of its proper divisors (11245721760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3283993440 is a wasteful number, since it uses less digits than its factorization.
3283993440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).
The product of its (nonzero) digits is 559872, while the sum is 45.
The square root of 3283993440 is about 57306.1378911544. The cubic root of 3283993440 is about 1486.3945136046.
The spelling of 3283993440 in words is "three billion, two hundred eighty-three million, nine hundred ninety-three thousand, four hundred forty".
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