Search a number
-
+
3374344456460 = 2251771577242257
BaseRepresentation
bin110001000110100110100…
…110100100100100001100
3102221120202212101222221122
4301012212212210210030
5420241124140101320
611102052532220112
7465534254431055
oct61064646444414
912846685358848
103374344456460
11109106252752a
12465b7916a638
131b6278b8c743
14b9467a2b72c
155cb93b29d25
hex311a69a490c

3374344456460 has 96 divisors (see below), whose sum is σ = 7621847549568. Its totient is φ = 1250273525760.

The previous prime is 3374344456453. The next prime is 3374344456463. The reversal of 3374344456460 is 646544434733.

It is a super-2 number, since 2×33743444564602 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3374344456463) by changing a digit.

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, 13807652 + ... + 14049908.

It is an arithmetic number, because the mean of its divisors is an integer number (79394245308).

Almost surely, 23374344456460 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 3374344456460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810923774784).

3374344456460 is an abundant number, since it is smaller than the sum of its proper divisors (4247503093108).

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

3374344456460 is a wasteful number, since it uses less digits than its factorization.

3374344456460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242931 (or 242929 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 53.

The spelling of 3374344456460 in words is "three trillion, three hundred seventy-four billion, three hundred forty-four million, four hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 577 710 1154 1207 1420 2308 2414 2885 4828 5770 6035 9809 11540 12070 19618 24140 39236 40967 49045 81934 98090 163868 196180 204835 242257 409670 484514 696439 819340 969028 1211285 1392878 2422570 2785756 3482195 4118369 4845140 6964390 8236738 13928780 16473476 17200247 20591845 34400494 41183690 68800988 82367380 86001235 139782289 172002470 279564578 292404199 344004940 559129156 584808398 698911445 1169616796 1397822890 1462020995 2376298913 2795645780 2924041990 4752597826 5848083980 9505195652 9924542519 11881494565 19849085038 23762989130 39698170076 47525978260 49622712595 99245425190 168717222823 198490850380 337434445646 674868891292 843586114115 1687172228230 3374344456460