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343333040333343 = 317894331258313883
BaseRepresentation
bin100111000010000100111001…
…1111010001010001000011111
31200000122022120220021202000120
41032010021303322022020133
5330000132031311131333
63214113004334130023
7132213664542111654
oct11604116372121037
91600568526252016
10343333040333343
119a43a7a7659a85
12326102b0650913
1311976222559b78
1460ad59d099c2b
1529a5d30e66db3
hex1384273e8a21f

343333040333343 has 64 divisors (see below), whose sum is σ = 491358021073920. Its totient is φ = 212480029605888.

The previous prime is 343333040333341. The next prime is 343333040333351.

343333040333343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343333040333343 - 21 = 343333040333341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343333040333295 and 343333040333304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343333040333341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 24730457680 + ... + 24730471562.

It is an arithmetic number, because the mean of its divisors is an integer number (7677469079280).

Almost surely, 2343333040333343 is an apocalyptic number.

343333040333343 is a deficient number, since it is larger than the sum of its proper divisors (148024980740577).

343333040333343 is a wasteful number, since it uses less digits than its factorization.

343333040333343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27008.

The product of its (nonzero) digits is 3779136, while the sum is 42.

The spelling of 343333040333343 in words is "three hundred forty-three trillion, three hundred thirty-three billion, forty million, three hundred thirty-three thousand, three hundred forty-three".

Divisors: 1 3 17 51 89 267 433 1299 1513 4539 7361 12583 13883 22083 37749 38537 41649 115611 213911 236011 641733 655129 708033 1119887 1235587 1965387 3359661 3706761 5448439 6011339 16345317 18034017 19038079 21004979 57114237 63014937 92623463 102192763 174689789 277870389 306578289 484911071 524069367 535009171 1454733213 1605027513 2969726413 8243488207 8909179239 9095155907 15547391221 24730464621 27285467721 46642173663 75640678637 226922035911 264305650757 792916952271 1285891536829 3857674610487 6732020398693 20196061196079 114444346777781 343333040333343