| Base | Representation |
|---|---|
| bin | 110001001111111111111… |
| … | …110000000000000000000 |
| 3 | 102222112211000002221000000 |
| 4 | 301033333332000000000 |
| 5 | 420422310012024320 |
| 6 | 11110442024000000 |
| 7 | 466342264555530 |
| oct | 61177776000000 |
| 9 | 12875730087000 |
| 10 | 3384433704960 |
| 11 | 109536a65a230 |
| 12 | 467b14000000 |
| 13 | 1b71c61c7a79 |
| 14 | b9b439834c0 |
| 15 | 5d084766c90 |
| hex | 313fff80000 |
3384433704960 has 2240 divisors, whose sum is σ = 15843582374400. Its totient is φ = 672682475520.
The previous prime is 3384433704943. The next prime is 3384433704961. The reversal of 3384433704960 is 694073344833.
3384433704960 is a `hidden beast` number, since 3 + 3 + 84 + 4 + 3 + 3 + 70 + 496 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2240).
It is a super-2 number, since 2×33844337049602 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 3384433704897 and 3384433704906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3384433704961) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 147149291509 + ... + 147149291531.
Almost surely, 23384433704960 is an apocalyptic number.
3384433704960 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 3384433704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921791187200).
3384433704960 is an abundant number, since it is smaller than the sum of its proper divisors (12459148669440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3384433704960 is an frugal number, since it uses more digits than its factorization.
3384433704960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 102 (or 51 counting only the distinct ones).
The product of its (nonzero) digits is 15676416, while the sum is 54.
The spelling of 3384433704960 in words is "three trillion, three hundred eighty-four billion, four hundred thirty-three million, seven hundred four thousand, nine hundred sixty".
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