Base | Representation |
---|---|
bin | 100111010101… |
… | …101010011000 |
3 | 201101220212200 |
4 | 213111222120 |
5 | 10114443334 |
6 | 1005010200 |
7 | 153440100 |
oct | 47255230 |
9 | 21356780 |
10 | 10312344 |
11 | 59038a9 |
12 | 3553960 |
13 | 21a0aa3 |
14 | 1526200 |
15 | d8a799 |
hex | 9d5a98 |
10312344 has 144 divisors (see below), whose sum is σ = 33789600. Its totient is φ = 2830464.
The previous prime is 10312343. The next prime is 10312373. The reversal of 10312344 is 44321301.
10312344 is a `hidden beast` number, since 10 + 312 + 344 = 666.
10312344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10312343) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130497 + ... + 130575.
It is an arithmetic number, because the mean of its divisors is an integer number (234650).
Almost surely, 210312344 is an apocalyptic number.
10312344 is a gapful number since it is divisible by the number (14) 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 10312344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894800).
10312344 is an abundant number, since it is smaller than the sum of its proper divisors (23477256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10312344 is a wasteful number, since it uses less digits than its factorization.
10312344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 142 (or 128 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 10312344 is about 3211.2838554074. The cubic root of 10312344 is about 217.6635947161.
Adding to 10312344 its reverse (44321301), we get a palindrome (54633645).
It can be divided in two parts, 1031 and 2344, that added together give a cube (3375 = 153).
The spelling of 10312344 in words is "ten million, three hundred twelve thousand, three hundred forty-four".
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