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345483384543 = 33112105749429
BaseRepresentation
bin1010000011100000110…
…10100001011011011111
31020000202022221100202000
411001300122201123133
521130022221301133
6422413551533343
733650254213113
oct5016032413337
91200668840660
10345483384543
11123578400300
1256b5982a253
132676ac280bb
1412a15a7d743
158ec0782413
hex50706a16df

345483384543 has 24 divisors (see below), whose sum is σ = 562586967600. Its totient is φ = 209383867440.

The previous prime is 345483384539. The next prime is 345483384613.

345483384543 is a `hidden beast` number, since 3 + 45 + 483 + 3 + 84 + 5 + 43 = 666.

345483384543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345483384543 - 22 = 345483384539 is a prime.

It is a super-2 number, since 2×3454833845432 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 345483384543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345483384443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52871448 + ... + 52877981.

It is an arithmetic number, because the mean of its divisors is an integer number (23441123650).

Almost surely, 2345483384543 is an apocalyptic number.

345483384543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345483384543 is a deficient number, since it is larger than the sum of its proper divisors (217103583057).

345483384543 is a wasteful number, since it uses less digits than its factorization.

345483384543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105749460 (or 105749443 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 345483384543 in words is "three hundred forty-five billion, four hundred eighty-three million, three hundred eighty-four thousand, five hundred forty-three".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 105749429 317248287 951744861 1163243719 2855234583 3489731157 10469193471 12795680909 31407580413 38387042727 115161128181 345483384543