Base | Representation |
---|---|
bin | 1111011010111001000000 |
3 | 21121100222222 |
4 | 33122321000 |
5 | 2013323204 |
6 | 222350212 |
7 | 46234100 |
oct | 17327100 |
9 | 7540888 |
10 | 4042304 |
11 | 2311052 |
12 | 142b368 |
13 | ab6bc6 |
14 | 773200 |
15 | 54cabe |
hex | 3dae40 |
4042304 has 42 divisors (see below), whose sum is σ = 9338310. Its totient is φ = 1731072.
The previous prime is 4042303. The next prime is 4042309. The reversal of 4042304 is 4032404.
4042304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 3841600 + 200704 = 1960^2 + 448^2 .
It is an Ulam number.
It is a nialpdrome in base 14.
It is not an unprimeable number, because it can be changed into a prime (4042303) 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 5 ways as a sum of consecutive naturals, for example, 2492 + ... + 3780.
Almost surely, 24042304 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 4042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669155).
4042304 is an abundant number, since it is smaller than the sum of its proper divisors (5296006).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4042304 is a wasteful number, since it uses less digits than its factorization.
4042304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1315 (or 1298 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 17.
The square root of 4042304 is about 2010.5481839538. The cubic root of 4042304 is about 159.2977556732.
Adding to 4042304 its reverse (4032404), we get a palindrome (8074708).
The spelling of 4042304 in words is "four million, forty-two thousand, three hundred four".
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