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34341544514343 = 3113743654087281
BaseRepresentation
bin1111100111011110000111…
…00011111101001100100111
311111121000112021122111000210
413303233003203331030213
514000122440343424333
6201012142053310503
710143044326023033
oct763570343751447
9144530467574023
1034341544514343
11aa401926614a0
123a27755935433
1316215170c5641
1486a1d51a91c3
153e8480818a63
hex1f3bc38fd327

34341544514343 has 32 divisors (see below), whose sum is σ = 52494428904192. Its totient is φ = 19779599347200.

The previous prime is 34341544514309. The next prime is 34341544514363.

34341544514343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34341544514343 - 222 = 34341540320039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34341544514292 and 34341544514301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341544514363) 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, 326991138 + ... + 327096143.

It is an arithmetic number, because the mean of its divisors is an integer number (1640450903256).

Almost surely, 234341544514343 is an apocalyptic number.

34341544514343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34341544514343 is a deficient number, since it is larger than the sum of its proper divisors (18152884389849).

34341544514343 is a wasteful number, since it uses less digits than its factorization.

34341544514343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654087375.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 3434154 and 4514343, that added together give a palindrome (7948497).

The spelling of 34341544514343 in words is "thirty-four trillion, three hundred forty-one billion, five hundred forty-four million, five hundred fourteen thousand, three hundred forty-three".

Divisors: 1 3 11 33 37 43 111 129 407 473 1221 1419 1591 4773 17501 52503 654087281 1962261843 7194960091 21584880273 24201229397 28125753083 72603688191 84377259249 266213523367 309383283913 798640570101 928149851739 1040652864071 3121958592213 11447181504781 34341544514343