Base | Representation |
---|---|
bin | 1000101010000101… |
… | …1010010101101000 |
3 | 12222222001011110220 |
4 | 2022201122111220 |
5 | 14224421430230 |
6 | 1022335410040 |
7 | 111406540206 |
oct | 21241322550 |
9 | 5888034426 |
10 | 2324014440 |
11 | a929334a0 |
12 | 54a383920 |
13 | 2b0632897 |
14 | 180920076 |
15 | d9066d10 |
hex | 8a85a568 |
2324014440 has 128 divisors (see below), whose sum is σ = 7621257600. Its totient is φ = 562257920.
The previous prime is 2324014409. The next prime is 2324014447. The reversal of 2324014440 is 444104232.
It is a happy number.
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 2324014440.
It is not an unprimeable number, because it can be changed into a prime (2324014447) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 781276 + ... + 784244.
It is an arithmetic number, because the mean of its divisors is an integer number (59541075).
Almost surely, 22324014440 is an apocalyptic number.
2324014440 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 2324014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810628800).
2324014440 is an abundant number, since it is smaller than the sum of its proper divisors (5297243160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2324014440 is a wasteful number, since it uses less digits than its factorization.
2324014440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3587 (or 3583 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 2324014440 is about 48208.0329405795. The cubic root of 2324014440 is about 1324.5843129387.
Adding to 2324014440 its reverse (444104232), we get a palindrome (2768118672).
The spelling of 2324014440 in words is "two billion, three hundred twenty-four million, fourteen thousand, four hundred forty".
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