Base | Representation |
---|---|
bin | 1000110111110001… |
… | …0000101100000000 |
3 | 20010221222212100000 |
4 | 2031330100230000 |
5 | 14334113300243 |
6 | 1032145200000 |
7 | 113004301542 |
oct | 21574205400 |
9 | 6127885300 |
10 | 2381384448 |
11 | 1012258423 |
12 | 565630000 |
13 | 2bc49b731 |
14 | 1883b5692 |
15 | de0ea5d3 |
hex | 8df10b00 |
2381384448 has 108 divisors (see below), whose sum is σ = 7120605128. Its totient is φ = 793774080.
The previous prime is 2381384377. The next prime is 2381384449. The reversal of 2381384448 is 8444831832.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (108).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (2381384449) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43068 + ... + 81348.
Almost surely, 22381384448 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 2381384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560302564).
2381384448 is an abundant number, since it is smaller than the sum of its proper divisors (4739220680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2381384448 is an frugal number, since it uses more digits than its factorization.
2381384448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38312 (or 38286 counting only the distinct ones).
The product of its digits is 589824, while the sum is 45.
The square root of 2381384448 is about 48799.4308163528. The cubic root of 2381384448 is about 1335.3952825193.
It can be divided in two parts, 2381384 and 448, that added together give a palindrome (2381832).
The spelling of 2381384448 in words is "two billion, three hundred eighty-one million, three hundred eighty-four thousand, four hundred forty-eight".
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