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38130349 is a prime number
BaseRepresentation
bin1001000101110…
…1001010101101
32122202020000011
42101131022231
534230132344
63441133221
7642050125
oct221351255
978666004
1038130349
111a583994
121092a211
137b9084a
1450c7c85
153532d34
hex245d2ad

38130349 has 2 divisors, whose sum is σ = 38130350. Its totient is φ = 38130348.

The previous prime is 38130347. The next prime is 38130419. The reversal of 38130349 is 94303183.

38130349 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., 30802500 + 7327849 = 5550^2 + 2707^2 .

It is a cyclic number.

It is not a de Polignac number, because 38130349 - 21 = 38130347 is a prime.

Together with 38130347, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 38130349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38130347) 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, 19065174 + 19065175.

It is an arithmetic number, because the mean of its divisors is an integer number (19065175).

Almost surely, 238130349 is an apocalyptic number.

It is an amenable number.

38130349 is a deficient number, since it is larger than the sum of its proper divisors (1).

38130349 is an equidigital number, since it uses as much as digits as its factorization.

38130349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 38130349 is about 6174.9776517814. The cubic root of 38130349 is about 336.5815143705.

The spelling of 38130349 in words is "thirty-eight million, one hundred thirty thousand, three hundred forty-nine".