Base | Representation |
---|---|
bin | 111100010011011… |
… | …0010100000000000 |
3 | 12020000110002221220 |
4 | 1320212302200000 |
5 | 13120444343430 |
6 | 532441115040 |
7 | 101066623122 |
oct | 17046624000 |
9 | 5200402856 |
10 | 2023434240 |
11 | 9491a3103 |
12 | 485788a80 |
13 | 263290989 |
14 | 152a39212 |
15 | bc991110 |
hex | 789b2800 |
2023434240 has 96 divisors (see below), whose sum is σ = 6473507040. Its totient is φ = 539574272.
The previous prime is 2023434229. The next prime is 2023434247. The reversal of 2023434240 is 424343202.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×20234342402 = 8188572247208755200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 2023434240.
It is not an unprimeable number, because it can be changed into a prime (2023434247) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 2214 + ... + 63653.
It is an arithmetic number, because the mean of its divisors is an integer number (67432365).
Almost surely, 22023434240 is an apocalyptic number.
2023434240 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 2023434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236753520).
2023434240 is an abundant number, since it is smaller than the sum of its proper divisors (4450072800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023434240 is an equidigital number, since it uses as much as digits as its factorization.
2023434240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65897 (or 65877 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 24.
The square root of 2023434240 is about 44982.5993023969. The cubic root of 2023434240 is about 1264.8228365578.
Adding to 2023434240 its reverse (424343202), we get a palindrome (2447777442).
The spelling of 2023434240 in words is "two billion, twenty-three million, four hundred thirty-four thousand, two hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.076 sec. • engine limits •