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36838349 is a prime number
BaseRepresentation
bin1000110010000…
…1101111001101
32120022120201022
42030201233031
533412311344
63353323525
7625056302
oct214415715
976276638
1036838349
1119881219
12104065a5
13782a752
144c6d0a9
15337a0ee
hex2321bcd

36838349 has 2 divisors, whose sum is σ = 36838350. Its totient is φ = 36838348.

The previous prime is 36838343. The next prime is 36838367. The reversal of 36838349 is 94383863.

36838349 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., 30052324 + 6786025 = 5482^2 + 2605^2 .

It is a cyclic number.

It is not a de Polignac number, because 36838349 - 212 = 36834253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36838343) 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, 18419174 + 18419175.

It is an arithmetic number, because the mean of its divisors is an integer number (18419175).

Almost surely, 236838349 is an apocalyptic number.

It is an amenable number.

36838349 is a deficient number, since it is larger than the sum of its proper divisors (1).

36838349 is an equidigital number, since it uses as much as digits as its factorization.

36838349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 44.

The square root of 36838349 is about 6069.4603549245. The cubic root of 36838349 is about 332.7362001569.

The spelling of 36838349 in words is "thirty-six million, eight hundred thirty-eight thousand, three hundred forty-nine".