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343444444343 = 7111324359101103
BaseRepresentation
bin1001111111101101110…
…00100101010010110111
31012211111020022110121022
410333312320211102313
521111333234204333
6421435354211355
733545605416050
oct4776670452267
91184436273538
10343444444343
11122721487360
125668aa23b5b
1326504698700
14128a0d69727
158e0177bc98
hex4ff6e254b7

343444444343 has 192 divisors, whose sum is σ = 491993948160. Its totient is φ = 232569792000.

The previous prime is 343444444339. The next prime is 343444444417.

343444444343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343444444343 - 22 = 343444444339 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 343444444294 and 343444444303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343444444313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3334412030 + ... + 3334412132.

It is an arithmetic number, because the mean of its divisors is an integer number (2562468480).

Almost surely, 2343444444343 is an apocalyptic number.

343444444343 is a deficient number, since it is larger than the sum of its proper divisors (148549503817).

343444444343 is a wasteful number, since it uses less digits than its factorization.

343444444343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

It can be divided in two parts, 343444 and 444343, that added together give a palindrome (787787).

The spelling of 343444444343 in words is "three hundred forty-three billion, four hundred forty-four million, four hundred forty-four thousand, three hundred forty-three".