Search a number
-
+
3312344112 = 2437112713307
BaseRepresentation
bin1100010101101110…
…0101110000110000
322112211202111220120
43011123211300300
523240430002422
61304403010240
7145040313630
oct30533456060
98484674816
103312344112
11144a806180
12785369980
1340a314b3c
14235cb06c0
15145be045c
hexc56e5c30

3312344112 has 160 divisors (see below), whose sum is σ = 10710933504. Its totient is φ = 856915200.

The previous prime is 3312344111. The next prime is 3312344159. The reversal of 3312344112 is 2114432133.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3312344111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999963 + ... + 1003269.

Almost surely, 23312344112 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 3312344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355466752).

3312344112 is an abundant number, since it is smaller than the sum of its proper divisors (7398589392).

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

3312344112 is a wasteful number, since it uses less digits than its factorization.

3312344112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3601 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3312344112 is about 57552.9678817696. The cubic root of 3312344112 is about 1490.6596049594.

Adding to 3312344112 its reverse (2114432133), we get a palindrome (5426776245).

The spelling of 3312344112 in words is "three billion, three hundred twelve million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 271 308 336 462 528 542 616 813 924 1084 1232 1626 1848 1897 2168 2981 3252 3307 3696 3794 4336 5691 5962 6504 6614 7588 8943 9921 11382 11924 13008 13228 15176 17886 19842 20867 22764 23149 23848 26456 30352 35772 36377 39684 41734 45528 46298 47696 52912 62601 69447 71544 72754 79368 83468 91056 92596 109131 125202 138894 143088 145508 158736 166936 185192 218262 250404 254639 277788 291016 333872 370384 436524 500808 509278 555576 582032 763917 873048 896197 1001616 1018556 1111152 1527834 1746096 1792394 2037112 2688591 3055668 3584788 4074224 5377182 6111336 6273379 7169576 9858167 10754364 12222672 12546758 14339152 18820137 19716334 21508728 25093516 29574501 37640274 39432668 43017456 50187032 59149002 69007169 75280548 78865336 100374064 118298004 138014338 150561096 157730672 207021507 236596008 276028676 301122192 414043014 473192016 552057352 828086028 1104114704 1656172056 3312344112