Base | Representation |
---|---|
bin | 1000110111001010… |
… | …0100100010000000 |
3 | 20010210012210220000 |
4 | 2031302210202000 |
5 | 14332441004123 |
6 | 1032014520000 |
7 | 112643562042 |
oct | 21562444200 |
9 | 6123183800 |
10 | 2378844288 |
11 | 1010882a17 |
12 | 564806000 |
13 | 2bbabc492 |
14 | 187d13a92 |
15 | ddc97b43 |
hex | 8dca4880 |
2378844288 has 120 divisors (see below), whose sum is σ = 7094212455. Its totient is φ = 791292672.
The previous prime is 2378844271. The next prime is 2378844301. The reversal of 2378844288 is 8824488732.
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 only one way, i.e., 1189422144 + 1189422144 = 34488^2 + 34488^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=34488.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4966033 + ... + 4966511.
Almost surely, 22378844288 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 2378844288
2378844288 is an abundant number, since it is smaller than the sum of its proper divisors (4715368167).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2378844288 is an frugal number, since it uses more digits than its factorization.
2378844288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 984 (or 484 counting only the distinct ones).
The product of its digits is 5505024, while the sum is 54.
The square root of 2378844288 is about 48773.3973391233. The cubic root of 2378844288 is about 1334.9203032843.
The spelling of 2378844288 in words is "two billion, three hundred seventy-eight million, eight hundred forty-four thousand, two hundred eighty-eight".
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