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243234344340 = 22355133849863
BaseRepresentation
bin1110001010000111100…
…1011000110110010100
3212020211102022221100000
43202201321120312110
512441120443004330
6303423524051300
723400400546101
oct3424171306624
9766742287300
10243234344340
119417849aa99
123b182833b30
1319c244a6750
14bab6057aa8
1564d8d90560
hex38a1e58d94

243234344340 has 144 divisors (see below), whose sum is σ = 823994091648. Its totient is φ = 59873053824.

The previous prime is 243234344333. The next prime is 243234344341. The reversal of 243234344340 is 43443432342.

243234344340 is a `hidden beast` number, since 2 + 43 + 234 + 3 + 44 + 340 = 666.

It is a super-3 number, since 3×2432343443403 (a number of 35 digits) contains 333 as substring.

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 = 243234344295 and 243234344304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243234344341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1861752 + ... + 1988111.

It is an arithmetic number, because the mean of its divisors is an integer number (5722181192).

Almost surely, 2243234344340 is an apocalyptic number.

243234344340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243234344340 is an abundant number, since it is smaller than the sum of its proper divisors (580759747308).

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

243234344340 is a wasteful number, since it uses less digits than its factorization.

243234344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849900 (or 3849886 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 243234344340 its reverse (43443432342), we get a palindrome (286677776682).

The spelling of 243234344340 in words is "two hundred forty-three billion, two hundred thirty-four million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 63180 3849863 7699726 11549589 15399452 19249315 23099178 34648767 38498630 46198356 50048219 57747945 69297534 76997260 100096438 103946301 115495890 138595068 150144657 173243835 200192876 207892602 230991780 250241095 300289314 311838903 346487670 415785204 450433971 500482190 519731505 600578628 623677806 692975340 750723285 900867942 935516709 1000964380 1039463010 1247355612 1351301913 1501446570 1559194515 1801735884 1871033418 2078926020 2252169855 2702603826 3002893140 3118389030 3742066836 4053905739 4504339710 4677583545 5405207652 6236778060 6756509565 8107811478 9008679420 9355167090 12161717217 13513019130 16215622956 18710334180 20269528695 24323434434 27026038260 40539057390 48646868868 60808586085 81078114780 121617172170 243234344340