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340402030243440 = 243511181712376591
BaseRepresentation
bin100110101100110000000011…
…0000101111110111001110000
31122122021010010202201000120220
41031121200012011332321300
5324104121324220242230
63203550311151533040
7131462143432320654
oct11531400605767160
91578233122630526
10340402030243440
119950a76589a930
123221823b22a180
13117c2a09b13999
14600b7909a2a64
15295498830cd10
hex135980617ee70

340402030243440 has 160 divisors (see below), whose sum is σ = 1157537874834432. Its totient is φ = 82065783168000.

The previous prime is 340402030243397. The next prime is 340402030243463. The reversal of 340402030243440 is 44342030204043.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 355710456 + ... + 356666135.

Almost surely, 2340402030243440 is an apocalyptic number.

340402030243440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340402030243440 is an abundant number, since it is smaller than the sum of its proper divisors (817135844590992).

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

340402030243440 is a wasteful number, since it uses less digits than its factorization.

340402030243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712376799 (or 712376793 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 340402030243440 its reverse (44342030204043), we get a palindrome (384744060447483).

The spelling of 340402030243440 in words is "three hundred forty trillion, four hundred two billion, thirty million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 181 220 240 264 330 362 440 528 543 660 724 880 905 1086 1320 1448 1810 1991 2172 2640 2715 2896 3620 3982 4344 5430 5973 7240 7964 8688 9955 10860 11946 14480 15928 19910 21720 23892 29865 31856 39820 43440 47784 59730 79640 95568 119460 159280 238920 477840 712376591 1424753182 2137129773 2849506364 3561882955 4274259546 5699012728 7123765910 7836142501 8548519092 10685648865 11398025456 14247531820 15672285002 17097038184 21371297730 23508427503 28495063640 31344570004 34194076368 39180712505 42742595460 47016855006 56990127280 62689140008 78361425010 85485190920 94033710012 117542137515 125378280016 128940162971 156722850020 170970381840 188067420024 235084275030 257880325942 313445700040 376134840048 386820488913 470168550060 515760651884 626891400080 644700814855 773640977826 940337100120 1031521303768 1289401629710 1418341792681 1547281955652 1880674200240 1934102444565 2063042607536 2578803259420 2836683585362 3094563911304 3868204889130 4255025378043 5157606518840 5673367170724 6189127822608 7091708963405 7736409778260 8510050756086 10315213037680 11346734341448 14183417926810 15472819556520 17020101512172 21275126890215 22693468682896 28366835853620 30945639113040 34040203024344 42550253780430 56733671707240 68080406048688 85100507560860 113467343414480 170201015121720 340402030243440