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3370196589240 = 2335132477872177
BaseRepresentation
bin110001000010101111010…
…111101101101010111000
3102221012001210110111210210
4301002233113231222320
5420204130311323430
611100125201111120
7465326420226525
oct61025727555270
912835053414723
103370196589240
11108a324128498
124652000284a0
131b5a67737b40
14b9192bc614c
155c9ee8e72b0
hex310af5edab8

3370196589240 has 128 divisors (see below), whose sum is σ = 10892735703360. Its totient is φ = 829250985984.

The previous prime is 3370196589233. The next prime is 3370196589259. The reversal of 3370196589240 is 429856910733.

It is a super-2 number, since 2×33701965892402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3428032 + ... + 4300208.

It is a 1-persistent number, because it is pandigital, but 2⋅3370196589240 = 6740393178480 is not.

Almost surely, 23370196589240 is an apocalyptic number.

3370196589240 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 3370196589240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446367851680).

3370196589240 is an abundant number, since it is smaller than the sum of its proper divisors (7522539114120).

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

3370196589240 is a wasteful number, since it uses less digits than its factorization.

3370196589240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874681 (or 874677 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 3370196589240 in words is "three trillion, three hundred seventy billion, one hundred ninety-six million, five hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2477 4954 7431 9908 12385 14862 19816 24770 29724 32201 37155 49540 59448 64402 74310 96603 99080 128804 148620 161005 193206 257608 297240 322010 386412 483015 644020 772824 872177 966030 1288040 1744354 1932060 2616531 3488708 3864120 4360885 5233062 6977416 8721770 10466124 11338301 13082655 17443540 20932248 22676602 26165310 34014903 34887080 45353204 52330620 56691505 68029806 90706408 104661240 113383010 136059612 170074515 226766020 272119224 340149030 453532040 680298060 1360596120 2160382429 4320764858 6481147287 8641529716 10801912145 12962294574 17283059432 21603824290 25924589148 28084971577 32405736435 43207648580 51849178296 56169943154 64811472870 84254914731 86415297160 112339886308 129622945740 140424857885 168509829462 224679772616 259245891480 280849715770 337019658924 421274573655 561699431540 674039317848 842549147310 1123398863080 1685098294620 3370196589240