Search a number
-
+
5641344 = 27325983
BaseRepresentation
bin10101100001010010000000
3101121121110200
4111201102000
52421010334
6320525200
765644032
oct25412200
911547420
105641344
113203475
121a80800
131226997
14a6bc52
15766799
hex561480

5641344 has 96 divisors (see below), whose sum is σ = 16707600. Its totient is φ = 1826304.

The previous prime is 5641343. The next prime is 5641369. The reversal of 5641344 is 4431465.

5641344 is digitally balanced in base 5, 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 (96).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5641343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67927 + ... + 68009.

Almost surely, 25641344 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 5641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).

5641344 is an abundant number, since it is smaller than the sum of its proper divisors (11066256).

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

5641344 is a wasteful number, since it uses less digits than its factorization.

5641344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5641344 is about 2375.1513635977. The cubic root of 5641344 is about 178.0167471513.

The spelling of 5641344 in words is "five million, six hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 83 96 118 128 144 166 177 192 236 249 288 332 354 384 472 498 531 576 664 708 747 944 996 1062 1152 1328 1416 1494 1888 1992 2124 2656 2832 2988 3776 3984 4248 4897 5312 5664 5976 7552 7968 8496 9794 10624 11328 11952 14691 15936 16992 19588 22656 23904 29382 31872 33984 39176 44073 47808 58764 67968 78352 88146 95616 117528 156704 176292 235056 313408 352584 470112 626816 705168 940224 1410336 1880448 2820672 5641344