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343034020430343 = 321124719571342451
BaseRepresentation
bin100110111111111001101010…
…0111011110000001000000111
31122222120201202200120210121100
41031333303110323300020013
5324430232133212232333
63213323353051551143
7132153250544634054
oct11577632473601007
91588521680523540
10343034020430343
119a334a02722100
123258235b45b4b3
1311953c7a7ba218
14609cd141a402b
15299d17e857213
hex137fcd4ef0207

343034020430343 has 72 divisors (see below), whose sum is σ = 556251435387648. Its totient is φ = 203465023740000.

The previous prime is 343034020430273. The next prime is 343034020430363.

343034020430343 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 340 + 2 + 0 + 4 + 303 + 4 + 3 = 666.

343034020430343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343034020430343 - 210 = 343034020429319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343034020430298 and 343034020430307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343034020430363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1001531268 + ... + 1001873718.

It is an arithmetic number, because the mean of its divisors is an integer number (7725714380384).

Almost surely, 2343034020430343 is an apocalyptic number.

343034020430343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343034020430343 is a deficient number, since it is larger than the sum of its proper divisors (213217414957305).

343034020430343 is a wasteful number, since it uses less digits than its factorization.

343034020430343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362097 (or 362083 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

The spelling of 343034020430343 in words is "three hundred forty-three trillion, thirty-four billion, twenty million, four hundred thirty thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 47 99 121 141 363 423 517 1089 1551 4653 5687 17061 19571 51183 58713 176139 215281 342451 645843 919837 1027353 1937529 2368091 2759511 3082059 3766961 7104273 8278533 10118207 11300883 16095197 21312819 30354621 33902649 41436571 48285591 91063863 111300277 124309713 144856773 177047167 333900831 372929139 531141501 1001702493 1593424503 1947518837 5842556511 6702108521 17527669533 20106325563 60318976689 73723193731 221169581193 314999100487 663508743579 810955131041 944997301461 2432865393123 2834991904383 3464990105357 7298596179369 10394970316071 31184910948213 38114891158927 114344673476781 343034020430343