Search a number
-
+
3144312204 = 223111910112413
BaseRepresentation
bin1011101101101010…
…0110010110001100
322010010120121110120
42323122212112030
522414420442304
61240001304540
7140630132655
oct27332462614
98103517416
103144312204
111373978330
12739035150
133b1571587
1421b85052c
1513609d0d9
hexbb6a658c

3144312204 has 96 divisors (see below), whose sum is σ = 8509052160. Its totient is φ = 893664000.

The previous prime is 3144312191. The next prime is 3144312233. The reversal of 3144312204 is 4022134413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247102 + ... + 259514.

It is an arithmetic number, because the mean of its divisors is an integer number (88635960).

Almost surely, 23144312204 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 3144312204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254526080).

3144312204 is an abundant number, since it is smaller than the sum of its proper divisors (5364739956).

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

3144312204 is a wasteful number, since it uses less digits than its factorization.

3144312204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551 (or 12549 counting only the distinct ones).

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

The square root of 3144312204 is about 56074.1669933669. The cubic root of 3144312204 is about 1465.0143784383.

Adding to 3144312204 its reverse (4022134413), we get a palindrome (7166446617).

The spelling of 3144312204 in words is "three billion, one hundred forty-four million, three hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 101 114 132 202 209 228 303 404 418 606 627 836 1111 1212 1254 1919 2222 2508 3333 3838 4444 5757 6666 7676 11514 12413 13332 21109 23028 24826 37239 42218 49652 63327 74478 84436 126654 136543 148956 235847 253308 273086 409629 471694 546172 707541 819258 943388 1253713 1415082 1638516 2507426 2594317 2830164 3761139 5014852 5188634 7522278 7782951 10377268 13790843 15044556 15565902 23820547 27581686 31131804 41372529 47641094 55163372 71461641 82745058 95282188 142923282 165490116 262026017 285846564 524052034 786078051 1048104068 1572156102 3144312204