Search a number
-
+
3031023312 = 2432191193571
BaseRepresentation
bin1011010010101001…
…1011111011010000
321211020101221022200
42310222123323100
522201420221222
61220433203200
7135053162442
oct26452337320
97736357280
103031023312
111315a2a749
12707100500
13393c57225
1420a7a0492
1512b170eac
hexb4a9bed0

3031023312 has 120 divisors (see below), whose sum is σ = 8586259968. Its totient is φ = 998092800.

The previous prime is 3031023293. The next prime is 3031023323. The reversal of 3031023312 is 2133201303.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 5307987 + ... + 5308557.

Almost surely, 23031023312 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 3031023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293129984).

3031023312 is an abundant number, since it is smaller than the sum of its proper divisors (5555236656).

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

3031023312 is a wasteful number, since it uses less digits than its factorization.

3031023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3031023312 is about 55054.7301510052. The cubic root of 3031023312 is about 1447.2040154744.

Adding to 3031023312 its reverse (2133201303), we get a palindrome (5164224615).

The spelling of 3031023312 in words is "three billion, thirty-one million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 193 382 386 571 573 579 764 772 1142 1146 1158 1528 1544 1713 1719 1737 2284 2292 2316 3056 3088 3426 3438 3474 4568 4584 4632 5139 6852 6876 6948 9136 9168 9264 10278 13704 13752 13896 20556 27408 27504 27792 36863 41112 73726 82224 109061 110203 110589 147452 218122 220406 221178 294904 327183 330609 331767 436244 440812 442356 589808 654366 661218 663534 872488 881624 884712 981549 991827 1308732 1322436 1327068 1744976 1763248 1769424 1963098 1983654 2617464 2644872 2654136 3926196 3967308 5234928 5289744 5308272 7852392 7934616 15704784 15869232 21048773 42097546 63146319 84195092 126292638 168390184 189438957 252585276 336780368 378877914 505170552 757755828 1010341104 1515511656 3031023312