Search a number
-
+
2004417 = 32222713
BaseRepresentation
bin111101001010111000001
310202211112200
413221113001
51003120132
6110543413
723015532
oct7512701
93684480
102004417
111149a48
12807b69
1355245c
143a2689
15298d7c
hex1e95c1

2004417 has 6 divisors (see below), whose sum is σ = 2895282. Its totient is φ = 1336272.

The previous prime is 2004383. The next prime is 2004421. The reversal of 2004417 is 7144002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1962801 + 41616 = 1401^2 + 204^2 .

It is not a de Polignac number, because 2004417 - 212 = 2000321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2004417.

It is not an unprimeable number, because it can be changed into a prime (2004017) 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 5 ways as a sum of consecutive naturals, for example, 111348 + ... + 111365.

It is an arithmetic number, because the mean of its divisors is an integer number (482547).

22004417 is an apocalyptic number.

It is an amenable number.

2004417 is a deficient number, since it is larger than the sum of its proper divisors (890865).

2004417 is a wasteful number, since it uses less digits than its factorization.

2004417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222719 (or 222716 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2004417 is about 1415.7743464267. The cubic root of 2004417 is about 126.0847879808.

Adding to 2004417 its reverse (7144002), we get a palindrome (9148419).

The spelling of 2004417 in words is "two million, four thousand, four hundred seventeen".

Divisors: 1 3 9 222713 668139 2004417