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4340656768 = 277398867
BaseRepresentation
bin1000000101011100…
…10010101010000000
3102012111201012200111
410002232102222000
532342202004033
61554415201104
7212364655000
oct40256225200
912174635614
104340656768
111928207748
12a11816194
13542385c76
142d26ac000
151a61157cd
hex102b92a80

4340656768 has 64 divisors (see below), whose sum is σ = 10084536000. Its totient is φ = 1860262656.

The previous prime is 4340656717. The next prime is 4340656823. The reversal of 4340656768 is 8676560434.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (49).

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 7 ways as a sum of consecutive naturals, for example, 5530 + ... + 93337.

It is an arithmetic number, because the mean of its divisors is an integer number (157570875).

Almost surely, 24340656768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4340656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042268000).

4340656768 is an abundant number, since it is smaller than the sum of its proper divisors (5743879232).

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

4340656768 is an frugal number, since it uses more digits than its factorization.

4340656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98902 (or 98876 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The square root of 4340656768 is about 65883.6608576057. The cubic root of 4340656768 is about 1631.2423273950.

The spelling of 4340656768 in words is "four billion, three hundred forty million, six hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2744 3136 5488 6272 10976 21952 43904 98867 197734 395468 692069 790936 1384138 1581872 2768276 3163744 4844483 5536552 6327488 9688966 11073104 12654976 19377932 22146208 33911381 38755864 44292416 67822762 77511728 88584832 135645524 155023456 271291048 310046912 542582096 620093824 1085164192 2170328384 4340656768