Search a number
-
+
34007621 is a prime number
BaseRepresentation
bin1000000110111…
…0101001000101
32100222202200112
42001232221011
532201220441
63212522405
7562026404
oct201565105
970882615
1034007621
111821847a
12b480405
13707916b
14473363b
152ebb4eb
hex206ea45

34007621 has 2 divisors, whose sum is σ = 34007622. Its totient is φ = 34007620.

The previous prime is 34007591. The next prime is 34007629. The reversal of 34007621 is 12670043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32330596 + 1677025 = 5686^2 + 1295^2 .

It is a cyclic number.

It is not a de Polignac number, because 34007621 - 26 = 34007557 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34007629) 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, 17003810 + 17003811.

It is an arithmetic number, because the mean of its divisors is an integer number (17003811).

Almost surely, 234007621 is an apocalyptic number.

It is an amenable number.

34007621 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007621 is an equidigital number, since it uses as much as digits as its factorization.

34007621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 34007621 is about 5831.6053535883. The cubic root of 34007621 is about 323.9853833014.

Adding to 34007621 its reverse (12670043), we get a palindrome (46677664).

The spelling of 34007621 in words is "thirty-four million, seven thousand, six hundred twenty-one".