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4340067664 = 241606116889
BaseRepresentation
bin1000000101011000…
…00010110101010000
3102012110121021120211
410002230002311100
532342024131124
61554354413504
7212356652332
oct40254026520
912173537524
104340067664
111927945089
12a11591294
1354220aa9a
142d2597452
151a604ae94
hex102b02d50

4340067664 has 20 divisors (see below), whose sum is σ = 8409902580. Its totient is φ = 2169770240.

The previous prime is 4340067631. The next prime is 4340067757. The reversal of 4340067664 is 4667600434.

It can be written as a sum of positive squares in 2 ways, for example, as 87984400 + 4252083264 = 9380^2 + 65208^2 .

It is a super-3 number, since 3×43400676643 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 248532 + ... + 265420.

It is an arithmetic number, because the mean of its divisors is an integer number (420495129).

Almost surely, 24340067664 is an apocalyptic number.

It is an amenable number.

4340067664 is a deficient number, since it is larger than the sum of its proper divisors (4069834916).

4340067664 is a wasteful number, since it uses less digits than its factorization.

4340067664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32958 (or 32952 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The square root of 4340067664 is about 65879.1899160881. The cubic root of 4340067664 is about 1631.1685278981.

The spelling of 4340067664 in words is "four billion, three hundred forty million, sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 16061 16889 32122 33778 64244 67556 128488 135112 256976 270224 271254229 542508458 1085016916 2170033832 4340067664