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34321266212343 = 3113133549624841
BaseRepresentation
bin1111100110111000010101…
…11000010111110111110111
311111112002012001110000012120
413303130022320113313313
513444304423122243333
6200554545543051023
710141425654220035
oct763341270276767
9144462161400176
1034321266212343
11aa32627029020
123a23836740a73
13161c634b79186
1486922dd5b555
153e7b95427db3
hex1f370ae17df7

34321266212343 has 16 divisors (see below), whose sum is σ = 51532223757312. Its totient is φ = 20129774904000.

The previous prime is 34321266212323. The next prime is 34321266212393.

34321266212343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34321266212343 - 225 = 34321232657911 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34321266212295 and 34321266212304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321266212323) 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 15 ways as a sum of consecutive naturals, for example, 16774811398 + ... + 16774813443.

It is an arithmetic number, because the mean of its divisors is an integer number (3220763984832).

Almost surely, 234321266212343 is an apocalyptic number.

34321266212343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34321266212343 is a deficient number, since it is larger than the sum of its proper divisors (17210957544969).

34321266212343 is a wasteful number, since it uses less digits than its factorization.

34321266212343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33549624886.

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 3432126 and 6212343, that added together give a palindrome (9644469).

The spelling of 34321266212343 in words is "thirty-four trillion, three hundred twenty-one billion, two hundred sixty-six million, two hundred twelve thousand, three hundred forty-three".

Divisors: 1 3 11 31 33 93 341 1023 33549624841 100648874523 369045873251 1040038370071 1107137619753 3120115110213 11440422070781 34321266212343