Base | Representation |
---|---|
bin | 111110101111110… |
… | …1001111101011110 |
3 | 12102201202221220000 |
4 | 1331133221331132 |
5 | 13302443402314 |
6 | 544531035130 |
7 | 103114014111 |
oct | 17537517536 |
9 | 5381687800 |
10 | 2105450334 |
11 | 990520aa9 |
12 | 4a913baa6 |
13 | 277278900 |
14 | 15d8a8578 |
15 | c4c92209 |
hex | 7d7e9f5e |
2105450334 has 120 divisors (see below), whose sum is σ = 5208565032. Its totient is φ = 635169600.
The previous prime is 2105450297. The next prime is 2105450339. The reversal of 2105450334 is 4330545012.
It is a super-3 number, since 3×21054503343 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2105450298 and 2105450307.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2105450339) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1450309 + ... + 1451759.
Almost surely, 22105450334 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2105450334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604282516).
2105450334 is an abundant number, since it is smaller than the sum of its proper divisors (3103114698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2105450334 is a wasteful number, since it uses less digits than its factorization.
2105450334 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1544 (or 1522 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
The square root of 2105450334 is about 45885.1864330962. The cubic root of 2105450334 is about 1281.6860784144.
Adding to 2105450334 its reverse (4330545012), we get a palindrome (6435995346).
The spelling of 2105450334 in words is "two billion, one hundred five million, four hundred fifty thousand, three hundred thirty-four".
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