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36801341 is a prime number
BaseRepresentation
bin1000110001100…
…0101100111101
32120020200221122
42030120230331
533410120331
63352440325
7624543353
oct214305475
976220848
1036801341
1119856435
12103a90a5
137816955
144c5d7d3
15336e17b
hex2318b3d

36801341 has 2 divisors, whose sum is σ = 36801342. Its totient is φ = 36801340.

The previous prime is 36801337. The next prime is 36801353. The reversal of 36801341 is 14310863.

36801341 is digitally balanced in base 2, 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., 33304441 + 3496900 = 5771^2 + 1870^2 .

It is a cyclic number.

It is not a de Polignac number, because 36801341 - 22 = 36801337 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36801341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36801041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18400670 + 18400671.

It is an arithmetic number, because the mean of its divisors is an integer number (18400671).

Almost surely, 236801341 is an apocalyptic number.

It is an amenable number.

36801341 is a deficient number, since it is larger than the sum of its proper divisors (1).

36801341 is an equidigital number, since it uses as much as digits as its factorization.

36801341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 36801341 is about 6066.4108828862. The cubic root of 36801341 is about 332.6247399759.

The spelling of 36801341 in words is "thirty-six million, eight hundred one thousand, three hundred forty-one".