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344474474443 = 11217198813921
BaseRepresentation
bin1010000001101000100…
…01110101011111001011
31012221011000111102021021
411000310101311133023
521120440431140233
6422125511253311
733613253502211
oct5006421653713
91187130442237
10344474474443
111230aa951200
125691797a237
1326639bbb488
141295ba92cb1
158e61de0e2d
hex50344757cb

344474474443 has 24 divisors (see below), whose sum is σ = 422010585360. Its totient is φ = 279224985600.

The previous prime is 344474474417. The next prime is 344474474453.

344474474443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344474474443 - 213 = 344474466251 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (344474474413) 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, 4367878 + ... + 4446043.

It is an arithmetic number, because the mean of its divisors is an integer number (17583774390).

Almost surely, 2344474474443 is an apocalyptic number.

344474474443 is a deficient number, since it is larger than the sum of its proper divisors (77536110917).

344474474443 is a wasteful number, since it uses less digits than its factorization.

344474474443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813979 (or 8813968 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 52.

The spelling of 344474474443 in words is "three hundred forty-four billion, four hundred seventy-four million, four hundred seventy-four thousand, four hundred forty-three".

Divisors: 1 11 17 19 121 187 209 323 2057 2299 3553 39083 8813921 96953131 149836657 167464499 1066484441 1648203227 1842109489 2846896483 18130235497 20263204379 31315861313 344474474443