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343003314542040 = 233351372923133197
BaseRepresentation
bin100110111111101011010111…
…0101110000101010111011000
31122222110210111202001001112000
41031333112232232011113120
5324424231242010321130
63213301314122121000
7132151112614120605
oct11577265656052730
91588423452031460
10343003314542040
119a322985a87809
1232578410050160
13119510c6103849
14609b6400cb6ac
15299c483c96260
hex137f5aeb855d8

343003314542040 has 128 divisors (see below), whose sum is σ = 1143427710744000. Its totient is φ = 91460884230144.

The previous prime is 343003314542029. The next prime is 343003314542113. The reversal of 343003314542040 is 40245413300343.

It is a happy number.

343003314542040 is a `hidden beast` number, since 3 + 4 + 30 + 0 + 33 + 14 + 542 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 343003314541986 and 343003314542004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3260722 + ... + 26393918.

Almost surely, 2343003314542040 is an apocalyptic number.

343003314542040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343003314542040 is an abundant number, since it is smaller than the sum of its proper divisors (800424396201960).

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

343003314542040 is a wasteful number, since it uses less digits than its factorization.

343003314542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23146946 (or 23146936 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 343003314542040 its reverse (40245413300343), we get a palindrome (383248727842383).

The spelling of 343003314542040 in words is "three hundred forty-three trillion, three billion, three hundred fourteen million, five hundred forty-two thousand, 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 1080 13729 27458 41187 54916 68645 82374 109832 123561 137290 164748 205935 247122 274580 329496 370683 411870 494244 549160 617805 741366 823740 988488 1235610 1482732 1647480 1853415 2471220 2965464 3706830 4942440 7413660 14827320 23133197 46266394 69399591 92532788 115665985 138799182 185065576 208198773 231331970 277598364 346997955 416397546 462663940 555196728 624596319 693995910 832795092 925327880 1040993865 1249192638 1387991820 1665590184 2081987730 2498385276 2775983640 3122981595 4163975460 4996770552 6245963190 8327950920 12491926380 24983852760 317595661613 635191323226 952786984839 1270382646452 1587978308065 1905573969678 2540765292904 2858360954517 3175956616130 3811147939356 4763934924195 5716721909034 6351913232260 7622295878712 8575082863551 9527869848390 11433443818068 12703826464520 14291804772585 17150165727102 19055739696780 22866887636136 28583609545170 34300331454204 38111479393560 42875414317755 57167219090340 68600662908408 85750828635510 114334438180680 171501657271020 343003314542040