Base | Representation |
---|---|
bin | 100111101100… |
… | …000111010010 |
3 | 201120121000200 |
4 | 213230013102 |
5 | 10130414211 |
6 | 1011000030 |
7 | 154302153 |
oct | 47540722 |
9 | 21517020 |
10 | 10404306 |
11 | 5966a00 |
12 | 3599016 |
13 | 22038c3 |
14 | 154b92a |
15 | da7b56 |
hex | 9ec1d2 |
10404306 has 72 divisors (see below), whose sum is σ = 26329212. Its totient is φ = 2956800.
The previous prime is 10404281. The next prime is 10404311. The reversal of 10404306 is 60340401.
10404306 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 9828225 + 576081 = 3135^2 + 759^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36886 + ... + 37166.
Almost surely, 210404306 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10404306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164606).
10404306 is an abundant number, since it is smaller than the sum of its proper divisors (15924906).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10404306 is a wasteful number, since it uses less digits than its factorization.
10404306 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 328 (or 314 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 10404306 is about 3225.5706471879. The cubic root of 10404306 is about 218.3086976975.
Adding to 10404306 its reverse (60340401), we get a palindrome (70744707).
The spelling of 10404306 in words is "ten million, four hundred four thousand, three hundred six".
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