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34131437 is a prime number
BaseRepresentation
bin1000001000110…
…0110111101101
32101020001112022
42002030313231
532214201222
63215315525
7563053364
oct202146755
971201468
1034131437
11182a24aa
12b51bba5
1370c0622
1447667db
152ee3042
hex208cded

34131437 has 2 divisors, whose sum is σ = 34131438. Its totient is φ = 34131436.

The previous prime is 34131401. The next prime is 34131439. The reversal of 34131437 is 73413143.

34131437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33570436 + 561001 = 5794^2 + 749^2 .

It is a cyclic number.

It is not a de Polignac number, because 34131437 - 26 = 34131373 is a prime.

Together with 34131439, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34131439) 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, 17065718 + 17065719.

It is an arithmetic number, because the mean of its divisors is an integer number (17065719).

Almost surely, 234131437 is an apocalyptic number.

It is an amenable number.

34131437 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131437 is an equidigital number, since it uses as much as digits as its factorization.

34131437 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 26.

The square root of 34131437 is about 5842.2116531327. The cubic root of 34131437 is about 324.3780990889.

The spelling of 34131437 in words is "thirty-four million, one hundred thirty-one thousand, four hundred thirty-seven".