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344301421313434 = 213371373601772533
BaseRepresentation
bin100111001001000111110101…
…1111010011011110110011010
31200011001220011000221112100011
41032102033223322123312122
5330112013302324012214
63220133520035232134
7132343646120454334
oct11622175372336632
91604056130845304
10344301421313434
119a78345a459262
1232747b0944864a
1311a1663bbc8570
1461043c6052454
1529c110b899ac4
hex13923ebe9bd9a

344301421313434 has 64 divisors (see below), whose sum is σ = 575404421983776. Its totient is φ = 153478584705024.

The previous prime is 344301421313401. The next prime is 344301421313459. The reversal of 344301421313434 is 434313124103443.

It can be written as a sum of positive squares in 16 ways, for example, as 127353414299409 + 216948007014025 = 11285097^2 + 14729155^2 .

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, 4746788232 + ... + 4746860764.

Almost surely, 2344301421313434 is an apocalyptic number.

344301421313434 is a deficient number, since it is larger than the sum of its proper divisors (231103000670342).

344301421313434 is a wasteful number, since it uses less digits than its factorization.

344301421313434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108739.

The product of its (nonzero) digits is 497664, while the sum is 40.

Adding to 344301421313434 its reverse (434313124103443), we get a palindrome (778614545416877).

The spelling of 344301421313434 in words is "three hundred forty-four trillion, three hundred one billion, four hundred twenty-one million, three hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 13 26 37 74 137 274 481 962 1781 3562 5069 10138 36017 65897 72034 72533 131794 145066 468221 936442 942929 1332629 1885858 2665258 2683721 4934329 5367442 9868658 9937021 17324177 19874042 34648354 34888373 64146277 69776746 128292554 129181273 182570173 258362546 365140346 367669777 735339554 2373412249 2612421061 4746824498 4779707101 5224842122 9559414202 33961473793 67922947586 96659579257 193319158514 357901685357 715803370714 1256574530341 2513149060682 4652721909641 9305443819282 13242362358209 26484724716418 172150710656717 344301421313434