Base | Representation |
---|---|
bin | 100111010011… |
… | …101110101000 |
3 | 201101112000100 |
4 | 213103232220 |
5 | 10114220144 |
6 | 1004505400 |
7 | 153405024 |
oct | 47235650 |
9 | 21345010 |
10 | 10304424 |
11 | 58a8959 |
12 | 354b260 |
13 | 219a2c0 |
14 | 1523384 |
15 | d88269 |
hex | 9d3ba8 |
10304424 has 96 divisors (see below), whose sum is σ = 30630600. Its totient is φ = 3110400.
The previous prime is 10304417. The next prime is 10304447. The reversal of 10304424 is 42440301.
It can be written as a sum of positive squares in 4 ways, for example, as 9922500 + 381924 = 3150^2 + 618^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10304397 and 10304406.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94482 + ... + 94590.
Almost surely, 210304424 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 10304424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315300).
10304424 is an abundant number, since it is smaller than the sum of its proper divisors (20326176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10304424 is a wasteful number, since it uses less digits than its factorization.
10304424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 235 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 10304424 is about 3210.0504668930. The cubic root of 10304424 is about 217.6078577216.
Adding to 10304424 its reverse (42440301), we get a palindrome (52744725).
The spelling of 10304424 in words is "ten million, three hundred four thousand, four hundred twenty-four".
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