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243301384878360 = 233529436316024339
BaseRepresentation
bin110111010100100000000100…
…100111100111100100011000
31011220110101101211122111001020
4313110200010213213210120
5223342222214012101420
62221243040241122440
7102150642062003244
oct6724400447474430
91156411354574036
10243301384878360
11705835a0a00a66
1223355531629420
13a59b2b709aa93
144411bc8031424
151d1dc62568340
hexdd48049e7918

243301384878360 has 128 divisors (see below), whose sum is σ = 755246373408000. Its totient is φ = 62628753470976.

The previous prime is 243301384878359. The next prime is 243301384878373. The reversal of 243301384878360 is 63878483103342.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 243301384878294 and 243301384878303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7171071 + ... + 23195409.

It is an arithmetic number, because the mean of its divisors is an integer number (5900362292250).

Almost surely, 2243301384878360 is an apocalyptic number.

243301384878360 is a gapful number since it is divisible by the number (20) 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 243301384878360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377623186704000).

243301384878360 is an abundant number, since it is smaller than the sum of its proper divisors (511944988529640).

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

243301384878360 is a wasteful number, since it uses less digits than its factorization.

243301384878360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16028745 (or 16028741 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 243301384878360 in words is "two hundred forty-three trillion, three hundred one billion, three hundred eighty-four million, eight hundred seventy-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 4363 8726 13089 17452 21815 26178 34904 43630 52356 65445 87260 104712 126527 130890 174520 253054 261780 379581 506108 523560 632635 759162 1012216 1265270 1518324 1897905 2530540 3036648 3795810 5061080 7591620 15183240 16024339 32048678 48073017 64097356 80121695 96146034 128194712 160243390 192292068 240365085 320486780 384584136 464705831 480730170 640973560 929411662 961460340 1394117493 1858823324 1922920680 2323529155 2788234986 3717646648 4647058310 5576469972 6970587465 9294116620 11152939944 13941174930 18588233240 27882349860 55764699720 69914191057 139828382114 209742573171 279656764228 349570955285 419485146342 559313528456 699141910570 838970292684 1048712865855 1398283821140 1677940585368 2027511540653 2097425731710 2796567642280 4055023081306 4194851463420 6082534621959 8110046162612 8389702926840 10137557703265 12165069243918 16220092325224 20275115406530 24330138487836 30412673109795 40550230813060 48660276975672 60825346219590 81100461626120 121650692439180 243301384878360