Search a number
-
+
34057349 is a prime number
BaseRepresentation
bin1000000111101…
…0110010000101
32101002021220022
42001322302011
532204313344
63213544525
7562324364
oct201726205
971067808
1034057349
1118251877
12b4a5145
1370959a1
1447477db
152ecb0ee
hex207ac85

34057349 has 2 divisors, whose sum is σ = 34057350. Its totient is φ = 34057348.

The previous prime is 34057327. The next prime is 34057391. The reversal of 34057349 is 94375043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29084449 + 4972900 = 5393^2 + 2230^2 .

It is a cyclic number.

It is not a de Polignac number, because 34057349 - 216 = 33991813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34057949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17028674 + 17028675.

It is an arithmetic number, because the mean of its divisors is an integer number (17028675).

Almost surely, 234057349 is an apocalyptic number.

It is an amenable number.

34057349 is a deficient number, since it is larger than the sum of its proper divisors (1).

34057349 is an equidigital number, since it uses as much as digits as its factorization.

34057349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 34057349 is about 5835.8674590844. The cubic root of 34057349 is about 324.1432233986.

The spelling of 34057349 in words is "thirty-four million, fifty-seven thousand, three hundred forty-nine".