Search a number
-
+
3444934848 = 263234391777
BaseRepresentation
bin1100110101010101…
…1000100011000000
322220002020211012120
43031111120203000
524023400403343
61325500524240
7151240314555
oct31525304300
98802224176
103444934848
1115086375a3
12801850680
1342b9298b4
14249746a2c
15152681683
hexcd5588c0

3444934848 has 112 divisors (see below), whose sum is σ = 9538045440. Its totient is φ = 1095266304.

The previous prime is 3444934819. The next prime is 3444934849. The reversal of 3444934848 is 8484394443.

It is a super-2 number, since 2×34449348482 = 23735152213929566208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3444934848.

It is not an unprimeable number, because it can be changed into a prime (3444934849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937736 + ... + 1939512.

It is an arithmetic number, because the mean of its divisors is an integer number (85161120).

Almost surely, 23444934848 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 3444934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769022720).

3444934848 is an abundant number, since it is smaller than the sum of its proper divisors (6093110592).

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

3444934848 is a wasteful number, since it uses less digits than its factorization.

3444934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2244 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 51.

The square root of 3444934848 is about 58693.5673477086. The cubic root of 3444934848 is about 1510.2899678504.

The spelling of 3444934848 in words is "three billion, four hundred forty-four million, nine hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 439 552 736 878 1104 1317 1472 1756 1777 2208 2634 3512 3554 4416 5268 5331 7024 7108 10097 10536 10662 14048 14216 20194 21072 21324 28096 28432 30291 40388 40871 42144 42648 56864 60582 80776 81742 84288 85296 113728 121164 122613 161552 163484 170592 242328 245226 323104 326968 341184 484656 490452 646208 653936 780103 969312 980904 1307872 1560206 1938624 1961808 2340309 2615744 3120412 3923616 4680618 6240824 7847232 9361236 12481648 17942369 18722472 24963296 35884738 37444944 49926592 53827107 71769476 74889888 107654214 143538952 149779776 215308428 287077904 430616856 574155808 861233712 1148311616 1722467424 3444934848