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4434334344 = 2332115598907
BaseRepresentation
bin1000010000100111…
…01001001010001000
3102110000222112011100
410020103221022020
533040142144334
62012003101400
7214613135316
oct41023511210
912400875140
104434334344
111976080030
12a39071860
135588c4a9b
14300cd50b6
151ae46bc99
hex1084e9288

4434334344 has 48 divisors (see below), whose sum is σ = 13101444720. Its totient is φ = 1343737440.

The previous prime is 4434334343. The next prime is 4434334363.

4434334344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4434334299 and 4434334308.

It is not an unprimeable number, because it can be changed into a prime (4434334343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2798662 + ... + 2800245.

It is an arithmetic number, because the mean of its divisors is an integer number (272946765).

Almost surely, 24434334344 is an apocalyptic number.

4434334344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4434334344 is an abundant number, since it is smaller than the sum of its proper divisors (8667110376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4434334344 is a wasteful number, since it uses less digits than its factorization.

4434334344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598930 (or 5598923 counting only the distinct ones).

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

The square root of 4434334344 is about 66590.7977426311. The cubic root of 4434334344 is about 1642.8937537946.

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

The spelling of 4434334344 in words is "four billion, four hundred thirty-four million, three hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 5598907 11197814 16796721 22395628 33593442 44791256 50390163 61587977 67186884 100780326 123175954 134373768 184763931 201560652 246351908 369527862 403121304 492703816 554291793 739055724 1108583586 1478111448 2217167172 4434334344