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34322433422343 = 3113743228195393
BaseRepresentation
bin1111100110111010100000…
…11100111011010000000111
311111112012012101202102022120
413303131100130323100013
513444314320424003333
6200555301440301023
710141466616306453
oct763352034732007
9144465171672276
1034322433422343
11aa33075979190
123a23b01611773
13161c78c92c791
14869300d93663
153e7c12b37db3
hex1f375073b407

34322433422343 has 96 divisors (see below), whose sum is σ = 52521303778560. Its totient is φ = 19757915089920.

The previous prime is 34322433422341. The next prime is 34322433422363.

34322433422343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34322433422343 - 21 = 34322433422341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34322433422295 and 34322433422304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34322433422341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6364253455 + ... + 6364258847.

It is an arithmetic number, because the mean of its divisors is an integer number (547096914360).

Almost surely, 234322433422343 is an apocalyptic number.

34322433422343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34322433422343 is a deficient number, since it is larger than the sum of its proper divisors (18198870356217).

34322433422343 is a wasteful number, since it uses less digits than its factorization.

34322433422343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8349 (or 8306 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 3432243 and 3422343, that added together give a palindrome (6854586).

The spelling of 34322433422343 in words is "thirty-four trillion, three hundred twenty-two billion, four hundred thirty-three million, four hundred twenty-two thousand, three hundred forty-three".

Divisors: 1 3 11 33 37 43 111 129 407 473 1221 1419 1591 1849 2819 4773 5393 5547 8457 16179 17501 20339 31009 52503 59323 61017 68413 93027 104303 121217 177969 199541 205239 231899 312909 363651 598623 695697 752543 1147333 1333387 2194951 2257629 2550889 3441999 4000161 4485029 5212331 6584853 7652667 8580263 9971657 13455087 15202867 15636993 25740789 29914971 45608601 49335319 57335641 94382893 109688227 148005957 167231537 172006923 192856247 283148679 329064681 368951309 501694611 562506079 578568741 653723281 1106853927 1687518237 1961169843 2121418717 4058464399 6187566869 6364256151 7190956091 12175393197 18562700607 21572868273 24187761397 28110101083 72563284191 84330303249 266065375367 309211111913 798196126101 927633335739 1040073740071 3120221220213 11440811140781 34322433422343