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324114144 = 25311632903
BaseRepresentation
bin10011010100011…
…001011011100000
3211120212201000120
4103110121123200
51130433123034
652054520240
711013632124
oct2324313340
9746781016
10324114144
11156a54832
1290666080
13521c1a23
143108d584
151d6c3c49
hex135196e0

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".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1163 2326 2903 3489 4652 5806 6978 8709 9304 11612 13956 17418 18608 23224 27912 34836 37216 46448 55824 69672 92896 111648 139344 278688 3376189 6752378 10128567 13504756 20257134 27009512 40514268 54019024 81028536 108038048 162057072 324114144