| Base | Representation |
|---|---|
| bin | 110001001111101010011… |
| … | …110011011001000000000 |
| 3 | 102222111212212120121010000 |
| 4 | 301033222132123020000 |
| 5 | 420421040203342140 |
| 6 | 11110342143040000 |
| 7 | 466330325535423 |
| oct | 61175236331000 |
| 9 | 12874785517100 |
| 10 | 3384073105920 |
| 11 | 10951a50558a1 |
| 12 | 467a332a0000 |
| 13 | 1b71695a0460 |
| 14 | b9b0bb179ba |
| 15 | 5d062c87a30 |
| hex | 313ea79b200 |
3384073105920 has 800 divisors, whose sum is σ = 13109718893040. Its totient is φ = 829386915840.
The previous prime is 3384073105913. The next prime is 3384073105921. The reversal of 3384073105920 is 295013704833.
3384073105920 is a `hidden beast` number, since 3 + 3 + 8 + 40 + 7 + 3 + 10 + 592 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2317165906176 + 1066907199744 = 1522224^2 + 1032912^2 .
It is a super-2 number, since 2×33840731059202 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (3384073105921) 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 79 ways as a sum of consecutive naturals, for example, 649656276 + ... + 649661484.
Almost surely, 23384073105920 is an apocalyptic number.
3384073105920 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 3384073105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554859446520).
3384073105920 is an abundant number, since it is smaller than the sum of its proper divisors (9725645787120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3384073105920 is a wasteful number, since it uses less digits than its factorization.
3384073105920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5498 (or 5473 counting only the distinct ones).
The product of its (nonzero) digits is 544320, while the sum is 45.
The spelling of 3384073105920 in words is "three trillion, three hundred eighty-four billion, seventy-three million, one hundred five thousand, nine hundred twenty".
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