Base | Representation |
---|---|
bin | 1001100111001… |
… | …0010111101000 |
3 | 2210212011212212 |
4 | 2121302113220 |
5 | 40310024334 |
6 | 4000024252 |
7 | 666444350 |
oct | 231622750 |
9 | 83764785 |
10 | 40314344 |
11 | 20835844 |
12 | 11602088 |
13 | 8476955 |
14 | 54d5b60 |
15 | 3814ece |
hex | 26725e8 |
40314344 has 96 divisors (see below), whose sum is σ = 95489280. Its totient is φ = 15614976.
The previous prime is 40314343. The next prime is 40314367. The reversal of 40314344 is 44341304.
40314344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40314341) by changing a digit.
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, 760622 + ... + 760674.
It is an arithmetic number, because the mean of its divisors is an integer number (994680).
Almost surely, 240314344 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 40314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744640).
40314344 is an abundant number, since it is smaller than the sum of its proper divisors (55174936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40314344 is a wasteful number, since it uses less digits than its factorization.
40314344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 147 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
The square root of 40314344 is about 6349.3577627977. The cubic root of 40314344 is about 342.8887205704. Note that the first 3 decimals are identical.
Adding to 40314344 its reverse (44341304), we get a palindrome (84655648).
The spelling of 40314344 in words is "forty million, three hundred fourteen thousand, three hundred forty-four".
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