Base | Representation |
---|---|
bin | 1001000101011010000000 |
3 | 11110222201111 |
4 | 21011122000 |
5 | 1102201230 |
6 | 123013104 |
7 | 26145655 |
oct | 11053200 |
9 | 4428644 |
10 | 2381440 |
11 | 1387236 |
12 | 96a194 |
13 | 654c49 |
14 | 45dc2c |
15 | 32092a |
hex | 245680 |
2381440 has 48 divisors (see below), whose sum is σ = 5787990. Its totient is φ = 936960.
The previous prime is 2381437. The next prime is 2381453. The reversal of 2381440 is 441832.
2381440 is nontrivially palindromic in base 3.
It can be written as a sum of positive squares in 3 ways, for example, as 553536 + 1827904 = 744^2 + 1352^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39010 + ... + 39070.
22381440 is an apocalyptic number.
2381440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893995).
2381440 is an abundant number, since it is smaller than the sum of its proper divisors (3406550).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2381440 is an frugal number, since it uses more digits than its factorization.
2381440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141 (or 68 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 22.
The square root of 2381440 is about 1543.1914981622. The cubic root of 2381440 is about 133.5405666297.
The spelling of 2381440 in words is "two million, three hundred eighty-one thousand, four hundred forty".
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