Search a number
-
+
3244099848 = 2331129491863
BaseRepresentation
bin1100000101011101…
…0000100100001000
322101002100100101020
43001113100210020
523120442143343
61253524152440
7143251252023
oct30127204410
98332310336
103244099848
111415234260
12766538720
133c913c512
1422abc81ba
1513ec0eb83
hexc15d0908

3244099848 has 128 divisors (see below), whose sum is σ = 9181900800. Its totient is φ = 946131200.

The previous prime is 3244099823. The next prime is 3244099853. The reversal of 3244099848 is 8489904423.

It is a Cunningham number, because it is equal to 569572-1.

It is a self number, because there is not a number n which added to its sum of digits gives 3244099848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3758665 + ... + 3759527.

It is an arithmetic number, because the mean of its divisors is an integer number (71733600).

Almost surely, 23244099848 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 3244099848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590950400).

3244099848 is an abundant number, since it is smaller than the sum of its proper divisors (5937800952).

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

3244099848 is a wasteful number, since it uses less digits than its factorization.

3244099848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 3244099848 is about 56956.9999912214. Note that the first 5 decimals coincide. The cubic root of 3244099848 is about 1480.3511231678.

The spelling of 3244099848 in words is "three billion, two hundred forty-four million, ninety-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 491 638 696 863 957 982 1276 1473 1726 1914 1964 2552 2589 2946 3452 3828 3928 5178 5401 5892 6904 7656 9493 10356 10802 11784 14239 16203 18986 20712 21604 25027 28478 28479 32406 37972 42717 43208 50054 56956 56958 64812 75081 75944 85434 100108 113912 113916 129624 150162 156629 170868 200216 227832 275297 300324 313258 341736 423733 469887 550594 600648 626516 825891 847466 939774 1101188 1253032 1271199 1651782 1694932 1879548 2202376 2542398 3303564 3389864 3759096 4661063 5084796 6607128 9322126 10169592 12288257 13983189 18644252 24576514 27966378 36864771 37288504 49153028 55932756 73729542 98306056 111865512 135170827 147459084 270341654 294918168 405512481 540683308 811024962 1081366616 1622049924 3244099848