Search a number
-
+
3472627041 = 3213215112
BaseRepresentation
bin1100111011111100…
…0001010101100001
322222000100201202100
43032333001111201
524102443031131
61332330241013
7152024562042
oct31677012541
98860321670
103472627041
111522231104
1280ab86169
134345a4300
1424d2b48c9
15154d017e6
hexcefc1561

3472627041 has 27 divisors (see below), whose sum is σ = 5435141907. Its totient is φ = 2135586960.

The previous prime is 3472627027. The next prime is 3472627051. The reversal of 3472627041 is 1407262743.

The square root of 3472627041 is 58929.

It is a perfect power (a square), and thus also a powerful number.

3472627041 is a `hidden beast` number, since 347 + 2 + 6 + 270 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 513702225 + 2958924816 = 22665^2 + 54396^2 .

It is not a de Polignac number, because 3472627041 - 211 = 3472624993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3472626987 and 3472627005.

It is not an unprimeable number, because it can be changed into a prime (3472627001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2297476 + ... + 2298986.

Almost surely, 23472627041 is an apocalyptic number.

3472627041 is the 58929-th square number.

3472627041 is the 29465-th centered octagonal number.

It is an amenable number.

3472627041 is a deficient number, since it is larger than the sum of its proper divisors (1962514866).

3472627041 is an equidigital number, since it uses as much as digits as its factorization.

3472627041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The cubic root of 3472627041 is about 1514.3260067696.

Multiplying 3472627041 by its sum of digits (36), we get a square (125014573476 = 3535742).

Adding to 3472627041 its reverse (1407262743), we get a palindrome (4879889784).

The spelling of 3472627041 in words is "three billion, four hundred seventy-two million, six hundred twenty-seven thousand, forty-one".

Divisors: 1 3 9 13 39 117 169 507 1511 1521 4533 13599 19643 58929 176787 255359 766077 2283121 2298231 6849363 20548089 29680573 89041719 267125157 385847449 1157542347 3472627041