Search a number
-
+
324105344 = 2719711877
BaseRepresentation
bin10011010100010…
…111010010000000
3211120212020221122
4103110113102000
51130432332334
652054411412
711013564353
oct2324272200
9746766848
10324105344
11156a49162
1290660b68
13521baa14
143108a29a
151d6c132e
hex13517480

324105344 has 64 divisors (see below), whose sum is σ = 689601600. Its totient is φ = 151280640.

The previous prime is 324105317. The next prime is 324105347. The reversal of 324105344 is 443501423.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (324105347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171734 + ... + 173610.

It is an arithmetic number, because the mean of its divisors is an integer number (10775025).

Almost surely, 2324105344 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 324105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344800800).

324105344 is an abundant number, since it is smaller than the sum of its proper divisors (365496256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324105344 is a wasteful number, since it uses less digits than its factorization.

324105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 324105344 is about 18002.9259844060. The cubic root of 324105344 is about 686.9029749828.

Adding to 324105344 its reverse (443501423), we get a palindrome (767606767).

The spelling of 324105344 in words is "three hundred twenty-four million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 284 304 568 608 1136 1216 1349 1877 2272 2432 2698 3754 4544 5396 7508 9088 10792 15016 21584 30032 35663 43168 60064 71326 86336 120128 133267 142652 172672 240256 266534 285304 533068 570608 1066136 1141216 2132272 2282432 2532073 4264544 4564864 5064146 8529088 10128292 17058176 20256584 40513168 81026336 162052672 324105344