Base | Representation |
---|---|
bin | 1100110000111010… |
… | …1100001100100000 |
3 | 22211210101022102200 |
4 | 3030032230030200 |
5 | 24004124344404 |
6 | 1323555413200 |
7 | 150623642265 |
oct | 31416541440 |
9 | 8753338380 |
10 | 3426403104 |
11 | 14a912a403 |
12 | 7b75b4200 |
13 | 427b3b877 |
14 | 2470c126c |
15 | 150c20839 |
hex | cc3ac320 |
3426403104 has 144 divisors (see below), whose sum is σ = 10250053632. Its totient is φ = 1083608064.
The previous prime is 3426403103. The next prime is 3426403109. The reversal of 3426403104 is 4013046243.
3426403104 is a `hidden beast` number, since 3 + 4 + 2 + 640 + 3 + 10 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×34264031042 = 23480476462201669632, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (3426403103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839212 + ... + 843284.
It is an arithmetic number, because the mean of its divisors is an integer number (71180928).
Almost surely, 23426403104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3426403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125026816).
3426403104 is an abundant number, since it is smaller than the sum of its proper divisors (6823650528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3426403104 is a wasteful number, since it uses less digits than its factorization.
3426403104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4239 (or 4228 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 3426403104 is about 58535.4858526006. The cubic root of 3426403104 is about 1507.5769369082.
Adding to 3426403104 its reverse (4013046243), we get a palindrome (7439449347).
It can be divided in two parts, 342640 and 3104, that added together give a square (345744 = 5882).
The spelling of 3426403104 in words is "three billion, four hundred twenty-six million, four hundred three thousand, one hundred four".
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