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3640506341 is a prime number
BaseRepresentation
bin1101100011111101…
…1011011111100101
3100101201020212212012
43120333123133211
524423432200331
61401124404005
7156133536053
oct33077333745
910351225765
103640506341
1115a8a7532a
12857246605
134602c3284
142676d51d3
1516491382b
hexd8fdb7e5

3640506341 has 2 divisors, whose sum is σ = 3640506342. Its totient is φ = 3640506340.

The previous prime is 3640506319. The next prime is 3640506379. The reversal of 3640506341 is 1436050463.

3640506341 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3211602241 + 428904100 = 56671^2 + 20710^2 .

It is a cyclic number.

It is not a de Polignac number, because 3640506341 - 218 = 3640244197 is a prime.

It is a super-2 number, since 2×36405063412 = 26506572837722416562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3640506298 and 3640506307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3640506041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1820253170 + 1820253171.

It is an arithmetic number, because the mean of its divisors is an integer number (1820253171).

Almost surely, 23640506341 is an apocalyptic number.

It is an amenable number.

3640506341 is a deficient number, since it is larger than the sum of its proper divisors (1).

3640506341 is an equidigital number, since it uses as much as digits as its factorization.

3640506341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 3640506341 is about 60336.6086302503. The cubic root of 3640506341 is about 1538.3456599373.

The spelling of 3640506341 in words is "three billion, six hundred forty million, five hundred six thousand, three hundred forty-one".