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3434444343 = 3211149923143
BaseRepresentation
bin1100110010110101…
…0111011000110111
322212100111211221100
43030231113120313
524013204204333
61324444021143
7151052203161
oct31455273067
98770454840
103434444343
111502721960
127ba2317b3
134296c59b5
142481b5931
151517ad213
hexccb57637

3434444343 has 24 divisors (see below), whose sum is σ = 5415696000. Its totient is φ = 2080002960.

The previous prime is 3434444333. The next prime is 3434444381.

3434444343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3434444343 - 25 = 3434444311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3434444298 and 3434444307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434444333) 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, 136830 + ... + 159972.

It is an arithmetic number, because the mean of its divisors is an integer number (225654000).

Almost surely, 23434444343 is an apocalyptic number.

3434444343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3434444343 is a deficient number, since it is larger than the sum of its proper divisors (1981251657).

3434444343 is a wasteful number, since it uses less digits than its factorization.

3434444343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24659 (or 24656 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The square root of 3434444343 is about 58604.1324737428. The cubic root of 3434444343 is about 1508.7553656182.

It can be divided in two parts, 34344 and 44343, that added together give a palindrome (78687).

The spelling of 3434444343 in words is "three billion, four hundred thirty-four million, four hundred forty-four thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 99 1499 4497 13491 16489 23143 49467 69429 148401 208287 254573 763719 2291157 34691357 104074071 312222213 381604927 1144814781 3434444343