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344324413221100 = 2252131715580290191
BaseRepresentation
bin100111001001010010100011…
…0010101100110100011101100
31200011011002111101021110022221
41032102211012111212203230
5330112402344241033400
63220152241323445124
7132345421642451164
oct11622450625464354
91604132441243287
10344324413221100
119a792188820844
12327504653867a4
1311a188643b3260
1461055678355a4
1529c1a0510bc1a
hex13929465668ec

344324413221100 has 72 divisors (see below), whose sum is σ = 851992588859328. Its totient is φ = 119656628659200.

The previous prime is 344324413221037. The next prime is 344324413221121. The reversal of 344324413221100 is 1122314423443.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 23 ways as a sum of consecutive naturals, for example, 7790122996 + ... + 7790167195.

It is an arithmetic number, because the mean of its divisors is an integer number (11833230400824).

Almost surely, 2344324413221100 is an apocalyptic number.

It is an amenable number.

344324413221100 is an abundant number, since it is smaller than the sum of its proper divisors (507668175638228).

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

344324413221100 is a wasteful number, since it uses less digits than its factorization.

344324413221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15580290235 (or 15580290228 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 344324413221100 its reverse (1122314423443), we get a palindrome (345446727644543).

The spelling of 344324413221100 in words is "three hundred forty-four trillion, three hundred twenty-four billion, four hundred thirteen million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 15580290191 31160580382 62321160764 77901450955 155802901910 202543772483 264864933247 311605803820 389507254775 405087544966 529729866494 779014509550 810175089932 1012718862415 1059459732988 1324324666235 1558029019100 2025437724830 2648649332470 3443244132211 4050875449660 5063594312075 5297298664940 6621623331175 6886488264422 10127188624150 13243246662350 13772976528844 17216220661055 20254377248300 26486493324700 34432441322110 68864882644220 86081103305275 172162206610550 344324413221100