| Base | Representation |
|---|---|
| bin | 1100011010111111… |
| … | …0011100101000000 |
| 3 | 22121101022010102200 |
| 4 | 3012233303211000 |
| 5 | 23312102431200 |
| 6 | 1310512113200 |
| 7 | 145426052304 |
| oct | 30657634500 |
| 9 | 8541263380 |
| 10 | 3334420800 |
| 11 | 1461214777 |
| 12 | 790835800 |
| 13 | 411a74579 |
| 14 | 238bb9d04 |
| 15 | 147b01800 |
| hex | c6bf3940 |
3334420800 has 504 divisors, whose sum is σ = 12834966456. Its totient is φ = 817889280.
The previous prime is 3334420799. The next prime is 3334420801. The reversal of 3334420800 is 80244333.
3334420800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (3334420799) and next prime (3334420801).
It can be written as a sum of positive squares in 12 ways, for example, as 11128896 + 3323291904 = 3336^2 + 57648^2 .
It is a super-2 number, since 2×33344208002 = 22236724142945280000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3334420801) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12974272 + ... + 12974528.
Almost surely, 23334420800 is an apocalyptic number.
3334420800 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 3334420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417483228).
3334420800 is an abundant number, since it is smaller than the sum of its proper divisors (9500545656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3334420800 is a wasteful number, since it uses less digits than its factorization.
3334420800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 355 (or 337 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 3334420800 is about 57744.4438885682. The cubic root of 3334420800 is about 1493.9640104662.
The spelling of 3334420800 in words is "three billion, three hundred thirty-four million, four hundred twenty thousand, eight hundred".
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