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343213310010032 = 24711794001881369
BaseRepresentation
bin100111000001001101001001…
…1011011001110001010110000
31200000012212112200120010101122
41032002122103123032022300
5324441201324330310112
63213542003513521412
7132202225526132660
oct11602322333161260
91600185480503348
10343213310010032
119a3a3a46a47a60
12325b1057113268
1311967b511b4407
1460a78818b21a0
1529a2b749d0872
hex13826936ce2b0

343213310010032 has 160 divisors (see below), whose sum is σ = 839765951539200. Its totient is φ = 131993671680000.

The previous prime is 343213310009993. The next prime is 343213310010041. The reversal of 343213310010032 is 230010013312343.

It is a junction number, because it is equal to n+sod(n) for n = 343213310009983 and 343213310010010.

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, 388968644 + ... + 389850012.

It is an arithmetic number, because the mean of its divisors is an integer number (5248537197120).

Almost surely, 2343213310010032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343213310010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419882975769600).

343213310010032 is an abundant number, since it is smaller than the sum of its proper divisors (496552641529168).

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

343213310010032 is a wasteful number, since it uses less digits than its factorization.

343213310010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885475 (or 885469 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 343213310010032 its reverse (230010013312343), we get a palindrome (573223323322375).

The spelling of 343213310010032 in words is "three hundred forty-three trillion, two hundred thirteen billion, three hundred ten million, ten thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 79 88 112 154 158 176 308 316 553 616 632 869 1106 1232 1264 1738 2212 3476 4001 4424 6083 6952 8002 8848 12166 13904 16004 24332 28007 32008 44011 48664 56014 64016 88022 97328 112028 176044 224056 308077 316079 352088 448112 616154 632158 704176 881369 1232308 1264316 1762738 2212553 2464616 2528632 3476869 3525476 4425106 4929232 5057264 6169583 6953738 7050952 8850212 9695059 12339166 13907476 14101904 17700424 19390118 24338083 24678332 27814952 35400848 38780236 48676166 49356664 55629904 67865413 69628151 77560472 97352332 98713328 135730826 139256302 155120944 194704664 271461652 278512604 389409328 487397057 542923304 557025208 765909661 974794114 1085846608 1114050416 1531819322 1949588228 3063638644 3526357369 3899176456 5361367627 6127277288 7052714738 7798352912 10722735254 12254554576 14105429476 21445470508 24684501583 28210858952 38789931059 42890941016 49369003166 56421717904 77579862118 85781882032 98738006332 155159724236 197476012664 271529517413 278582232151 310319448472 394952025328 543059034826 557164464302 620638896944 1086118069652 1114328928604 1950075625057 2172236139304 2228657857208 3064404553661 3900151250114 4344472278608 4457315714416 6128809107322 7800302500228 12257618214644 15600605000456 21450831875627 24515236429288 31201210000912 42901663751254 49030472858576 85803327502508 171606655005016 343213310010032