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343340323043343 = 31012775032181293
BaseRepresentation
bin100111000010001000010010…
…1111111011111100000001111
31200000200000101102222202000120
41032010100211333133200033
5330000241440144341333
63214120211132000023
7132214343163116433
oct11604204577374017
91600600342882016
10343340323043343
119a4428a454887a
12326117a3600013
1311976b132b8b22
1460ada903a89c3
1529a610a4c6db3
hex1384425fdf80f

343340323043343 has 32 divisors (see below), whose sum is σ = 464003595191232. Its totient is φ = 225801861888000.

The previous prime is 343340323043297. The next prime is 343340323043363.

343340323043343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343340323043343 - 228 = 343340054607887 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343340323043295 and 343340323043304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343340323043363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223451205 + ... + 4223532497.

It is an arithmetic number, because the mean of its divisors is an integer number (14500112349726).

Almost surely, 2343340323043343 is an apocalyptic number.

343340323043343 is a deficient number, since it is larger than the sum of its proper divisors (120663272147889).

343340323043343 is a wasteful number, since it uses less digits than its factorization.

343340323043343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131995.

The product of its (nonzero) digits is 3359232, while the sum is 42.

The spelling of 343340323043343 in words is "three hundred forty-three trillion, three hundred forty billion, three hundred twenty-three million, forty-three thousand, three hundred forty-three".

Divisors: 1 3 101 277 303 831 27977 50321 81293 83931 150963 243879 5082421 8210593 13938917 15247263 22518161 24631779 41816751 67554483 1407830617 2274334261 4090745053 4223491851 6823002783 12272235159 413165250353 1133136379681 1239495751059 3399409139043 114446774347781 343340323043343