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34347455474343 = 311259612430999
BaseRepresentation
bin1111100111101001000111…
…11000011110101010100111
311111121120210020011100210020
413303310203320132222213
514000222042100134333
6201015000405530223
710143343652244414
oct763644370365247
9144546706140706
1034347455474343
11aa427461a7200
123a28925413973
131621c498b73cb
1486a5d623b10b
153e86c97143b3
hex1f3d23e1eaa7

34347455474343 has 72 divisors (see below), whose sum is σ = 52044698160000. Its totient is φ = 20128296196800.

The previous prime is 34347455474329. The next prime is 34347455474393.

It is a happy number.

34347455474343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34347455474343 - 216 = 34347455408807 is a prime.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34347455474393) 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, 79477158 + ... + 79908156.

It is an arithmetic number, because the mean of its divisors is an integer number (722843030000).

Almost surely, 234347455474343 is an apocalyptic number.

34347455474343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34347455474343 is a deficient number, since it is larger than the sum of its proper divisors (17697242685657).

34347455474343 is a wasteful number, since it uses less digits than its factorization.

34347455474343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431205 (or 431133 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 60.

The spelling of 34347455474343 in words is "thirty-four trillion, three hundred forty-seven billion, four hundred fifty-five million, four hundred seventy-four thousand, three hundred forty-three".

Divisors: 1 3 11 33 59 61 121 177 183 363 649 671 1947 2013 3599 3721 7139 7381 10797 11163 21417 22143 39589 40931 118767 122793 219539 430999 435479 450241 658617 1292997 1306437 1350723 2414929 4740989 7244787 14222967 25428941 26290939 26564219 52150879 76286823 78872817 79692657 156452637 279718351 289200329 839155053 867600987 1551165401 1603747279 3076901861 3181203619 4653496203 4811241837 9230705583 9543610857 17062819411 17641220069 51188458233 52923660207 94621089461 187691013521 194053420759 283863268383 563073040563 582160262277 1040831984071 3122495952213 11449151824781 34347455474343