Base | Representation |
---|---|
bin | 101101110011… |
… | …0101000000010 |
3 | 1200012000002000 |
4 | 1123212220002 |
5 | 22121411224 |
6 | 2214404430 |
7 | 411052443 |
oct | 133465002 |
9 | 50160060 |
10 | 24013314 |
11 | 12611616 |
12 | 8060716 |
13 | 4c8a080 |
14 | 32912ca |
15 | 21950c9 |
hex | 16e6a02 |
24013314 has 64 divisors (see below), whose sum is σ = 58329600. Its totient is φ = 7278336.
The previous prime is 24013289. The next prime is 24013343. The reversal of 24013314 is 41331042.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 55242 + ... + 55674.
It is an arithmetic number, because the mean of its divisors is an integer number (911400).
Almost surely, 224013314 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 24013314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164800).
24013314 is an abundant number, since it is smaller than the sum of its proper divisors (34316286).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24013314 is a wasteful number, since it uses less digits than its factorization.
24013314 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 536 (or 530 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 24013314 is about 4900.3381515973. The cubic root of 24013314 is about 288.5032433978.
Adding to 24013314 its reverse (41331042), we get a palindrome (65344356).
The spelling of 24013314 in words is "twenty-four million, thirteen thousand, three hundred fourteen".
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