Base | Representation |
---|---|
bin | 1010000111011… |
… | …1111100000000 |
3 | 2221211212220220 |
4 | 2201313330000 |
5 | 41330344204 |
6 | 4113303040 |
7 | 1023454113 |
oct | 241677400 |
9 | 87755826 |
10 | 42434304 |
11 | 21a53580 |
12 | 12264a80 |
13 | 8a39873 |
14 | 58c857a |
15 | 3ad31d9 |
hex | 2877f00 |
42434304 has 72 divisors (see below), whose sum is σ = 123228672. Its totient is φ = 12856320.
The previous prime is 42434269. The next prime is 42434309. The reversal of 42434304 is 40343424.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42434309) 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, 5937 + ... + 10959.
Almost surely, 242434304 is an apocalyptic number.
42434304 is a gapful number since it is divisible by the number (44) 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 42434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61614336).
42434304 is an abundant number, since it is smaller than the sum of its proper divisors (80794368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42434304 is a wasteful number, since it uses less digits than its factorization.
42434304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5053 (or 5039 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 24.
The square root of 42434304 is about 6514.1618033328. The cubic root of 42434304 is about 348.7966949719.
Adding to 42434304 its reverse (40343424), we get a palindrome (82777728).
The spelling of 42434304 in words is "forty-two million, four hundred thirty-four thousand, three hundred four".
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