Search a number
-
+
3460114769 is a prime number
BaseRepresentation
bin1100111000111101…
…0010100101010001
322221010211001010212
43032033102211101
524041242133034
61331202133505
7151513330106
oct31617224521
98833731125
103460114769
111516165491
12806951295
13431b130b7
1424b778aad
15153b7e2ce
hexce3d2951

3460114769 has 2 divisors, whose sum is σ = 3460114770. Its totient is φ = 3460114768.

The previous prime is 3460114739. The next prime is 3460114793. The reversal of 3460114769 is 9674110643.

3460114769 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., 2863534144 + 596580625 = 53512^2 + 24425^2 .

It is a cyclic number.

It is not a de Polignac number, because 3460114769 - 28 = 3460114513 is a prime.

It is a super-2 number, since 2×34601147692 = 23944788429303846722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3460114739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1730057384 + 1730057385.

It is an arithmetic number, because the mean of its divisors is an integer number (1730057385).

Almost surely, 23460114769 is an apocalyptic number.

It is an amenable number.

3460114769 is a deficient number, since it is larger than the sum of its proper divisors (1).

3460114769 is an equidigital number, since it uses as much as digits as its factorization.

3460114769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 3460114769 is about 58822.7402370886. The cubic root of 3460114769 is about 1512.5050547744.

The spelling of 3460114769 in words is "three billion, four hundred sixty million, one hundred fourteen thousand, seven hundred sixty-nine".