Search a number
-
+
10346681 is a prime number
BaseRepresentation
bin100111011110…
…000010111001
3201110122222102
4213132002321
510122043211
61005433145
7153642152
oct47360271
921418872
1010346681
115927684
12356b7b5
1321b35c7
141534929
15d95a3b
hex9de0b9

10346681 has 2 divisors, whose sum is σ = 10346682. Its totient is φ = 10346680.

The previous prime is 10346669. The next prime is 10346723. The reversal of 10346681 is 18664301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8761600 + 1585081 = 2960^2 + 1259^2 .

It is a cyclic number.

It is not a de Polignac number, because 10346681 - 218 = 10084537 is a prime.

It is a super-2 number, since 2×103466812 = 214107615431522, which contains 22 as substring.

It is a Chen prime.

It is equal to p686054 and since 10346681 and 686054 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10346641) 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, 5173340 + 5173341.

It is an arithmetic number, because the mean of its divisors is an integer number (5173341).

Almost surely, 210346681 is an apocalyptic number.

It is an amenable number.

10346681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10346681 is an equidigital number, since it uses as much as digits as its factorization.

10346681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 10346681 is about 3216.6257164924. The cubic root of 10346681 is about 217.9049118168.

The spelling of 10346681 in words is "ten million, three hundred forty-six thousand, six hundred eighty-one".