Search a number
-
+
34560073 is a prime number
BaseRepresentation
bin1000001111010…
…1100001001001
32102000211111201
42003311201021
532321410243
63232424201
7566520142
oct203654111
972024451
1034560073
1118565549
12b6a8061
137210762
144838ac9
15307a04d
hex20f5849

34560073 has 2 divisors, whose sum is σ = 34560074. Its totient is φ = 34560072.

The previous prime is 34560061. The next prime is 34560077. The reversal of 34560073 is 37006543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34421689 + 138384 = 5867^2 + 372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34560073 is a prime.

It is a super-3 number, since 3×345600733 (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34560077) 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, 17280036 + 17280037.

It is an arithmetic number, because the mean of its divisors is an integer number (17280037).

Almost surely, 234560073 is an apocalyptic number.

It is an amenable number.

34560073 is a deficient number, since it is larger than the sum of its proper divisors (1).

34560073 is an equidigital number, since it uses as much as digits as its factorization.

34560073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 34560073 is about 5878.7815914524. The cubic root of 34560073 is about 325.7303433344.

The spelling of 34560073 in words is "thirty-four million, five hundred sixty thousand, seventy-three".