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3334430344333 = 11283609329597
BaseRepresentation
bin110000100001011011100…
…010010100010010001101
3102210202202011222000110111
4300201123202110102031
5414112403132004313
611031452142240021
7462622202165164
oct60413342242215
912722664860414
103334430344333
111076140001300
1245a299b86011
131b258784c50a
14b755ca1a3db
155bb0995b43d
hex3085b89448d

3334430344333 has 12 divisors (see below), whose sum is σ = 3665172607740. Its totient is φ = 3031254860480.

The previous prime is 3334430344331. The next prime is 3334430344439.

3334430344333 is nontrivially palindromic in base 10.

3334430344333 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2497986572004 + 836443772329 = 1580502^2 + 914573^2 .

It is not a de Polignac number, because 3334430344333 - 21 = 3334430344331 is a prime.

It is a super-2 number, since 2×33344303443332 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334430344331) 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 11 ways as a sum of consecutive naturals, for example, 9951891 + ... + 10281487.

It is an arithmetic number, because the mean of its divisors is an integer number (305431050645).

Almost surely, 23334430344333 is an apocalyptic number.

It is an amenable number.

3334430344333 is a deficient number, since it is larger than the sum of its proper divisors (330742263407).

3334430344333 is a wasteful number, since it uses less digits than its factorization.

3334430344333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413228 (or 413217 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 40.

It can be divided in two parts, 3334430 and 344333, that added together give a palindrome (3678763).

The spelling of 3334430344333 in words is "three trillion, three hundred thirty-four billion, four hundred thirty million, three hundred forty-four thousand, three hundred thirty-three".

Divisors: 1 11 121 83609 329597 919699 3625567 10116689 39881237 27557275573 303130031303 3334430344333