Base | Representation |
---|---|
bin | 1001010001100101000000 |
3 | 11120112010000 |
4 | 21101211000 |
5 | 1110300141 |
6 | 124040000 |
7 | 26444220 |
oct | 11214500 |
9 | 4515100 |
10 | 2431296 |
11 | 141073a |
12 | 993000 |
13 | 67184a |
14 | 474080 |
15 | 3305b6 |
hex | 251940 |
2431296 has 140 divisors (see below), whose sum is σ = 8359648. Its totient is φ = 684288.
The previous prime is 2431291. The next prime is 2431301. The reversal of 2431296 is 6921342.
It is an interprime number because it is at equal distance from previous prime (2431291) and next prime (2431301).
It is a super-3 number, since 3×24312963 = 43115632493332267008, which contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a nialpdrome in base 12.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2431291) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36255 + ... + 36321.
22431296 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 2431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179824).
2431296 is an abundant number, since it is smaller than the sum of its proper divisors (5928352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2431296 is an equidigital number, since it uses as much as digits as its factorization.
2431296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 98 (or 79 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 2431296 is about 1559.2613635950. The cubic root of 2431296 is about 134.4660389743.
The spelling of 2431296 in words is "two million, four hundred thirty-one thousand, two hundred ninety-six".
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