Base | Representation |
---|---|
bin | 10011010100011… |
… | …001011011100000 |
3 | 211120212201000120 |
4 | 103110121123200 |
5 | 1130433123034 |
6 | 52054520240 |
7 | 11013632124 |
oct | 2324313340 |
9 | 746781016 |
10 | 324114144 |
11 | 156a54832 |
12 | 90666080 |
13 | 521c1a23 |
14 | 3108d584 |
15 | 1d6c3c49 |
hex | 135196e0 |
324114144 has 48 divisors (see below), whose sum is σ = 851824512. Its totient is φ = 107907968.
The previous prime is 324114127. The next prime is 324114149. The reversal of 324114144 is 441411423.
324114144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (324114149) 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 7 ways as a sum of consecutive naturals, for example, 110197 + ... + 113099.
It is an arithmetic number, because the mean of its divisors is an integer number (17746344).
Almost surely, 2324114144 is an apocalyptic number.
It is an amenable number.
324114144 is an abundant number, since it is smaller than the sum of its proper divisors (527710368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
324114144 is a wasteful number, since it uses less digits than its factorization.
324114144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4079 (or 4071 counting only the distinct ones).
The product of its digits is 1536, while the sum is 24.
The square root of 324114144 is about 18003.1703874623. The cubic root of 324114144 is about 686.9091917799.
Adding to 324114144 its reverse (441411423), we get a palindrome (765525567).
The spelling of 324114144 in words is "three hundred twenty-four million, one hundred fourteen thousand, one hundred forty-four".
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