Base | Representation |
---|---|
bin | 1110110011010100… |
… | …0010011000100000 |
3 | 101020220111220002212 |
4 | 3230311002120200 |
5 | 31114132420433 |
6 | 1454134101252 |
7 | 200314500614 |
oct | 35465023040 |
9 | 11226456085 |
10 | 3973326368 |
11 | 1759925a00 |
12 | 92a7aa828 |
13 | 4b42427bb |
14 | 2999ad344 |
15 | 183c56d48 |
hex | ecd42620 |
3973326368 has 54 divisors (see below), whose sum is σ = 8606766357. Its totient is φ = 1804274560.
The previous prime is 3973326349. The next prime is 3973326403. The reversal of 3973326368 is 8636233793.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 2162994064 + 1810332304 = 46508^2 + 42548^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=44572.
It is a Duffinian number.
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 3921830 + ... + 3922842.
Almost surely, 23973326368 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 3973326368
3973326368 is an abundant number, since it is smaller than the sum of its proper divisors (4633439989).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3973326368 is an equidigital number, since it uses as much as digits as its factorization.
3973326368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2058 (or 1026 counting only the distinct ones).
The product of its digits is 2939328, while the sum is 50.
The square root of 3973326368 is about 63034.3269020936. The cubic root of 3973326368 is about 1583.8647003777.
Multiplying 3973326368 by its sum of digits (50), we get a square (198666318400 = 4457202).
The spelling of 3973326368 in words is "three billion, nine hundred seventy-three million, three hundred twenty-six thousand, three hundred sixty-eight".
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