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4434334020 = 2232524635189
BaseRepresentation
bin1000010000100111…
…01001000101000100
3102110000222111201100
410020103221011010
533040142142040
62012003100100
7214613134344
oct41023510504
912400874640
104434334020
11197607a866
12a39071630
135588c48ac
14300cd4d24
151ae46bb30
hex1084e9144

4434334020 has 36 divisors (see below), whose sum is σ = 13450813740. Its totient is φ = 1182489024.

The previous prime is 4434333949. The next prime is 4434334027. The reversal of 4434334020 is 204334344.

It can be written as a sum of positive squares in 2 ways, for example, as 562258944 + 3872075076 = 23712^2 + 62226^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×44343340203 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4434334027) 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, 12317415 + ... + 12317774.

It is an arithmetic number, because the mean of its divisors is an integer number (373633715).

Almost surely, 24434334020 is an apocalyptic number.

It is an amenable number.

4434334020 is an abundant number, since it is smaller than the sum of its proper divisors (9016479720).

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

4434334020 is a wasteful number, since it uses less digits than its factorization.

4434334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24635204 (or 24635199 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 4434334020 is about 66590.7953098625. The cubic root of 4434334020 is about 1642.8937137813.

Adding to 4434334020 its reverse (204334344), we get a palindrome (4638668364).

The spelling of 4434334020 in words is "four billion, four hundred thirty-four million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 24635189 49270378 73905567 98540756 123175945 147811134 221716701 246351890 295622268 369527835 443433402 492703780 739055670 886866804 1108583505 1478111340 2217167010 4434334020