Base | Representation |
---|---|
bin | 101011111100… |
… | …1100100000000 |
3 | 1121100200002200 |
4 | 1113321210000 |
5 | 21344323204 |
6 | 2141513200 |
7 | 366566505 |
oct | 127714400 |
9 | 47320080 |
10 | 23042304 |
11 | 1200902a |
12 | 7872800 |
13 | 4a0a0cc |
14 | 30bb4ac |
15 | 2052539 |
hex | 15f9900 |
23042304 has 108 divisors (see below), whose sum is σ = 67838316. Its totient is φ = 7520256.
The previous prime is 23042303. The next prime is 23042309. The reversal of 23042304 is 40324032.
It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 9734400 = 3648^2 + 3120^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23042303) 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 11 ways as a sum of consecutive naturals, for example, 168124 + ... + 168260.
Almost surely, 223042304 is an apocalyptic number.
23042304 is a gapful number since it is divisible by the number (24) 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 23042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33919158).
23042304 is an abundant number, since it is smaller than the sum of its proper divisors (44796012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23042304 is a wasteful number, since it uses less digits than its factorization.
23042304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232 (or 215 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 23042304 is about 4800.2399940003. The cubic root of 23042304 is about 284.5609490919.
23042304 divided by its product of nonzero digits (576) gives a palindrome (40004).
Adding to 23042304 its reverse (40324032), we get a palindrome (63366336).
The spelling of 23042304 in words is "twenty-three million, forty-two thousand, three hundred four".
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