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343034020430307 = 3429538273331753
BaseRepresentation
bin100110111111111001101010…
…0111011110000000111100011
31122222120201202200120210120000
41031333303110323300013203
5324430232133212232212
63213323353051551043
7132153250544634003
oct11577632473600743
91588521680523500
10343034020430307
119a334a02722078
123258235b45b483
1311953c7a7ba1bb
14609cd141a4003
15299d17e8571dc
hex137fcd4ef01e3

343034020430307 has 80 divisors (see below), whose sum is σ = 540758866998240. Its totient is φ = 216375382798848.

The previous prime is 343034020430273. The next prime is 343034020430363. The reversal of 343034020430307 is 703034020430343.

343034020430307 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 340 + 2 + 0 + 4 + 3 + 0 + 307 = 666.

It is not a de Polignac number, because 343034020430307 - 26 = 343034020430243 is a prime.

It is a super-3 number, since 3×3430340204303073 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (343034020450307) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 101293143 + ... + 104624895.

It is an arithmetic number, because the mean of its divisors is an integer number (6759485837478).

Almost surely, 2343034020430307 is an apocalyptic number.

343034020430307 is a deficient number, since it is larger than the sum of its proper divisors (197724846567933).

343034020430307 is a wasteful number, since it uses less digits than its factorization.

343034020430307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332674 (or 3332665 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 36.

Adding to 343034020430307 its sum of digits (36), we get a palindrome (343034020430343).

The spelling of 343034020430307 in words is "three hundred forty-three trillion, thirty-four billion, twenty million, four hundred thirty thousand, three hundred seven".

Divisors: 1 3 9 27 29 53 81 87 159 261 477 783 827 1431 1537 2349 2481 4293 4611 7443 13833 22329 23983 41499 43831 66987 71949 124497 131493 215847 394479 647541 1183437 1271099 1942623 3331753 3550311 3813297 9995259 11439891 29985777 34319673 89957331 96620837 102959019 176582909 269871993 289862511 529748727 869587533 1589246181 2608762599 2755359731 4767738543 5120904361 7826287797 8266079193 14303215629 15362713083 24798237579 46088139249 74394712737 79905432199 138264417747 146034065743 223184138211 239716296597 414793253241 438102197229 719148889791 1314306591687 2157446669373 3942919775061 4234987906547 6472340008119 11828759325183 12704963719641 38114891158923 114344673476769 343034020430307