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345346643543 = 1171442185203
BaseRepresentation
bin1010000011010000100…
…00111001011001010111
31020000101210122012100112
411001220100321121113
521124232220043133
6422352225033235
733644004015236
oct5015020713127
91200353565315
10345346643543
111235081a4810
1256b1ba8581b
13267487bc275
1412a01846b1d
158eb3771648
hex5068439657

345346643543 has 8 divisors (see below), whose sum is σ = 382048016256. Its totient is φ = 309529641400.

The previous prime is 345346643533. The next prime is 345346643561.

345346643543 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 345346643543 - 224 = 345329866327 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345346643491 and 345346643500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345346643503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221091821 + ... + 221093382.

It is an arithmetic number, because the mean of its divisors is an integer number (47756002032).

Almost surely, 2345346643543 is an apocalyptic number.

345346643543 is a deficient number, since it is larger than the sum of its proper divisors (36701372713).

345346643543 is a wasteful number, since it uses less digits than its factorization.

345346643543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442185285.

The product of its digits is 18662400, while the sum is 50.

It can be divided in two parts, 345346 and 643543, that added together give a palindrome (988889).

The spelling of 345346643543 in words is "three hundred forty-five billion, three hundred forty-six million, six hundred forty-three thousand, five hundred forty-three".

Divisors: 1 11 71 781 442185203 4864037233 31395149413 345346643543