Base | Representation |
---|---|
bin | 10011000101100… |
… | …111110111010000 |
3 | 211022120221012122 |
4 | 103011213313100 |
5 | 1123440203404 |
6 | 51435513412 |
7 | 10636001351 |
oct | 2305476720 |
9 | 738527178 |
10 | 320241104 |
11 | 154849977 |
12 | 8b2b8868 |
13 | 51466ba1 |
14 | 30761d28 |
15 | 1d1ab3be |
hex | 13167dd0 |
320241104 has 40 divisors (see below), whose sum is σ = 663526728. Its totient is φ = 149196800.
The previous prime is 320241091. The next prime is 320241133. The reversal of 320241104 is 401142023.
It can be written as a sum of positive squares in 4 ways, for example, as 213160000 + 107081104 = 14600^2 + 10348^2 .
It is a super-2 number, since 2×3202411042 = 205108729382277632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21644 + ... + 33300.
Almost surely, 2320241104 is an apocalyptic number.
320241104 is a gapful number since it is divisible by the number (34) 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 320241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331763364).
320241104 is an abundant number, since it is smaller than the sum of its proper divisors (343285624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
320241104 is a wasteful number, since it uses less digits than its factorization.
320241104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11783 (or 11777 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
The square root of 320241104 is about 17895.2816127604. The cubic root of 320241104 is about 684.1621197287.
Adding to 320241104 its reverse (401142023), we get a palindrome (721383127).
The spelling of 320241104 in words is "three hundred twenty million, two hundred forty-one thousand, one hundred four".
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