Search a number
-
+
3121004244 = 2232961233631
BaseRepresentation
bin1011101000000110…
…1011111011010100
322001111201102221210
42322001223323110
522342434113434
61233405541420
7140225045511
oct27201537324
98044642853
103121004244
1113617a8756
12731274870
133a97a0597
14218704308
15133ee6ee9
hexba06bed4

3121004244 has 96 divisors (see below), whose sum is σ = 7702007040. Its totient is φ = 982195200.

The previous prime is 3121004231. The next prime is 3121004281. The reversal of 3121004244 is 4424001213.

It is a self number, because there is not a number n which added to its sum of digits gives 3121004244.

It is a congruent number.

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, 4945809 + ... + 4946439.

It is an arithmetic number, because the mean of its divisors is an integer number (80229240).

Almost surely, 23121004244 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 3121004244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851003520).

3121004244 is an abundant number, since it is smaller than the sum of its proper divisors (4581002796).

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

3121004244 is a wasteful number, since it uses less digits than its factorization.

3121004244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3121004244 is about 55865.9488776482. The cubic root of 3121004244 is about 1461.3854747223.

Adding to 3121004244 its reverse (4424001213), we get a palindrome (7545005457).

The spelling of 3121004244 in words is "three billion, one hundred twenty-one million, four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 233 244 348 366 466 631 699 732 932 1262 1398 1769 1893 2524 2796 3538 3786 5307 6757 7076 7572 10614 13514 14213 18299 20271 21228 27028 28426 36598 38491 40542 42639 54897 56852 73196 76982 81084 85278 109794 115473 147023 153964 170556 219588 230946 294046 412177 441069 461892 588092 824354 882138 1116239 1236531 1648708 1764276 2232478 2473062 3348717 4263667 4464956 4946124 6697434 8527334 8968403 12791001 13394868 17054668 17936806 25582002 26905209 35873612 51164004 53810418 107620836 260083687 520167374 780251061 1040334748 1560502122 3121004244