Search a number
-
+
3485727 = 33718443
BaseRepresentation
bin1101010011000000011111
320120002112000
431103000133
51343020402
6202413343
741425320
oct15230037
96502460
103485727
111a70973
121201253
1395077b
1466a447
1548cc1c
hex35301f

3485727 has 16 divisors (see below), whose sum is σ = 5902080. Its totient is φ = 1991736.

The previous prime is 3485701. The next prime is 3485737. The reversal of 3485727 is 7275843.

3485727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3485727 - 215 = 3452959 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3485691 and 3485700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485737) 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 in 15 ways as a sum of consecutive naturals, for example, 9033 + ... + 9410.

It is an arithmetic number, because the mean of its divisors is an integer number (368880).

Almost surely, 23485727 is an apocalyptic number.

3485727 is a deficient number, since it is larger than the sum of its proper divisors (2416353).

3485727 is a wasteful number, since it uses less digits than its factorization.

3485727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18459 (or 18453 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 3485727 is about 1867.0101767264. The cubic root of 3485727 is about 151.6227805775.

The spelling of 3485727 in words is "three million, four hundred eighty-five thousand, seven hundred twenty-seven".

Divisors: 1 3 7 9 21 27 63 189 18443 55329 129101 165987 387303 497961 1161909 3485727