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3334344003340 = 2257163337343319
BaseRepresentation
bin110000100001010110011…
…000111100111100001100
3102210202112011111102212221
4300201112120330330030
5414112214031101330
611031435415505124
7462620103252160
oct60412630747414
912722464442787
103334344003340
1110760a629a009
1245a2750881a4
131b25729abb7c
14b7551382ca0
155bb020a3b7a
hex3085663cf0c

3334344003340 has 96 divisors (see below), whose sum is σ = 8054093214720. Its totient is φ = 1135827069696.

The previous prime is 3334344003317. The next prime is 3334344003409. The reversal of 3334344003340 is 433004434333.

It is a super-2 number, since 2×33343440033402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3334344003296 and 3334344003305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76950201 + ... + 76993519.

It is an arithmetic number, because the mean of its divisors is an integer number (83896804320).

Almost surely, 23334344003340 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 3334344003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027046607360).

3334344003340 is an abundant number, since it is smaller than the sum of its proper divisors (4719749211380).

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

3334344003340 is a wasteful number, since it uses less digits than its factorization.

3334344003340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46871 (or 46869 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 34.

Adding to 3334344003340 its reverse (433004434333), we get a palindrome (3767348437673).

The spelling of 3334344003340 in words is "three trillion, three hundred thirty-four billion, three hundred forty-four million, three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 1141 1630 2282 3260 3373 4564 5705 6746 11410 13492 16865 22820 23611 33730 43319 47222 67460 86638 94444 118055 173276 216595 236110 303233 433190 472220 549799 606466 866380 1099598 1212932 1516165 2199196 2748995 3032330 3848593 5497990 6064660 7060997 7697186 10995980 14121994 15394372 19242965 28243988 35304985 38485930 49426979 70609970 76971860 98853958 141219940 146114987 197707916 247134895 292229974 494269790 584459948 730574935 988539580 1022804909 1461149870 2045609818 2922299740 4091219636 5114024545 10228049090 20456098180 23816742881 47633485762 95266971524 119083714405 166717200167 238167428810 333434400334 476334857620 666868800668 833586000835 1667172001670 3334344003340