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640640305341 = 32417732245993
BaseRepresentation
bin10010101001010010010…
…00110100100010111101
32021020121022202110210100
421110221020310202331
540444012404232331
61210150041031313
764166443514151
oct11245110644275
92236538673710
10640640305341
1122776a829503
12a41b1185539
134854857b16a
14230158cb061
15119e7b84ae6
hex95292348bd

640640305341 has 24 divisors (see below), whose sum is σ = 949166048376. Its totient is φ = 416137397760.

The previous prime is 640640305313. The next prime is 640640305363. The reversal of 640640305341 is 143503046046.

640640305341 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 4 + 0 + 305 + 341 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19623807225 + 621016498116 = 140085^2 + 788046^2 .

It is not a de Polignac number, because 640640305341 - 219 = 640639781053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 640640305296 and 640640305305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640640305391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837760 + ... + 1408233.

It is an arithmetic number, because the mean of its divisors is an integer number (39548585349).

Almost surely, 2640640305341 is an apocalyptic number.

It is an amenable number.

640640305341 is a deficient number, since it is larger than the sum of its proper divisors (308525743035).

640640305341 is a wasteful number, since it uses less digits than its factorization.

640640305341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246813 (or 2246810 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 640640305341 in words is "six hundred forty billion, six hundred forty million, three hundred five thousand, three hundred forty-one".

Divisors: 1 3 9 41 123 369 773 2319 6957 31693 95079 285237 2245993 6737979 20213937 92085713 276257139 828771417 1736152589 5208457767 15625373301 71182256149 213546768447 640640305341