Search a number
-
+
3350141640 = 233355935231
BaseRepresentation
bin1100011110101111…
…0001101011001000
322122110212211101000
43013223301223020
523330114013030
61312233055000
7146006506536
oct30753615310
98573784330
103350141640
11146a081aaa
12795b57460
134150ba041
1423ad0d156
151491a9860
hexc7af1ac8

3350141640 has 128 divisors (see below), whose sum is σ = 11188108800. Its totient is φ = 891694080.

The previous prime is 3350141633. The next prime is 3350141687. The reversal of 3350141640 is 461410533.

3350141640 is a `hidden beast` number, since 3 + 3 + 5 + 0 + 14 + 1 + 640 = 666.

It is a super-2 number, since 2×33501416402 = 22446898016123779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 637825 + ... + 643055.

It is an arithmetic number, because the mean of its divisors is an integer number (87407100).

Almost surely, 23350141640 is an apocalyptic number.

3350141640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3350141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594054400).

3350141640 is an abundant number, since it is smaller than the sum of its proper divisors (7837967160).

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

3350141640 is a wasteful number, since it uses less digits than its factorization.

3350141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3350141640 is about 57880.4080842559. The cubic root of 3350141640 is about 1496.3082012021.

The spelling of 3350141640 in words is "three billion, three hundred fifty million, one hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 593 1080 1186 1779 2372 2965 3558 4744 5231 5337 5930 7116 8895 10462 10674 11860 14232 15693 16011 17790 20924 21348 23720 26155 26685 31386 32022 35580 41848 42696 47079 52310 53370 62772 64044 71160 78465 80055 94158 104620 106740 125544 128088 141237 156930 160110 188316 209240 213480 235395 282474 313860 320220 376632 470790 564948 627720 640440 706185 941580 1129896 1412370 1883160 2824740 3101983 5649480 6203966 9305949 12407932 15509915 18611898 24815864 27917847 31019830 37223796 46529745 55835694 62039660 74447592 83753541 93059490 111671388 124079320 139589235 167507082 186118980 223342776 279178470 335014164 372237960 418767705 558356940 670028328 837535410 1116713880 1675070820 3350141640