Search a number
-
+
3143104224 = 2531316315451
BaseRepresentation
bin1011101101010111…
…1111011011100000
322010001022020102120
42323111333123200
522414113313344
61235515344240
7140613642111
oct27325773340
98101266376
103143104224
1113732227a7
12738752080
133b123a7b0
1421b618208
15135e10219
hexbb57f6e0

3143104224 has 96 divisors (see below), whose sum is σ = 8940403584. Its totient is φ = 961113600.

The previous prime is 3143104199. The next prime is 3143104247. The reversal of 3143104224 is 4224013413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3143104194 and 3143104203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195699 + ... + 211149.

It is an arithmetic number, because the mean of its divisors is an integer number (93129204).

Almost surely, 23143104224 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 3143104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470201792).

3143104224 is an abundant number, since it is smaller than the sum of its proper divisors (5797299360).

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

3143104224 is a wasteful number, since it uses less digits than its factorization.

3143104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15640 (or 15632 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3143104224 is about 56063.3946885131. The cubic root of 3143104224 is about 1464.8267449559.

Adding to 3143104224 its reverse (4224013413), we get a palindrome (7367117637).

The spelling of 3143104224 in words is "three billion, one hundred forty-three million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 163 208 312 326 416 489 624 652 978 1248 1304 1956 2119 2608 3912 4238 5216 6357 7824 8476 12714 15451 15648 16952 25428 30902 33904 46353 50856 61804 67808 92706 101712 123608 185412 200863 203424 247216 370824 401726 494432 602589 741648 803452 1205178 1483296 1606904 2410356 2518513 3213808 4820712 5037026 6427616 7555539 9641424 10074052 15111078 19282848 20148104 30222156 32740669 40296208 60444312 65481338 80592416 98222007 120888624 130962676 196444014 241777248 261925352 392888028 523850704 785776056 1047701408 1571552112 3143104224