Base | Representation |
---|---|
bin | 101101110101… |
… | …1011101010000 |
3 | 1200020000012222 |
4 | 1123223131100 |
5 | 22123024404 |
6 | 2215040212 |
7 | 411164234 |
oct | 133533520 |
9 | 50200188 |
10 | 24033104 |
11 | 12625477 |
12 | 8070068 |
13 | 4c96094 |
14 | 32985c4 |
15 | 219adbe |
hex | 16eb750 |
24033104 has 40 divisors (see below), whose sum is σ = 49717800. Its totient is φ = 11214848.
The previous prime is 24033103. The next prime is 24033127. The reversal of 24033104 is 40133042.
It can be written as a sum of positive squares in 4 ways, for example, as 3312400 + 20720704 = 1820^2 + 4552^2 .
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (24033103) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40232 + ... + 40824.
It is an arithmetic number, because the mean of its divisors is an integer number (1242945).
Almost surely, 224033104 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 24033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24858900).
24033104 is an abundant number, since it is smaller than the sum of its proper divisors (25684696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24033104 is a wasteful number, since it uses less digits than its factorization.
24033104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 767 (or 761 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 24033104 is about 4902.3569841455. The cubic root of 24033104 is about 288.5824759916.
Adding to 24033104 its reverse (40133042), we get a palindrome (64166146).
The spelling of 24033104 in words is "twenty-four million, thirty-three thousand, one hundred four".
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