Search a number
-
+
2004364417 = 112341199971
BaseRepresentation
bin111011101111000…
…0010110010000001
312011200120021002011
41313132002302001
513101104130132
6530520252521
7100445550016
oct16736026201
95150507064
102004364417
11939458720
1247b311141
1325c344a63
141502b370d
15bae75b47
hex77782c81

2004364417 has 32 divisors (see below), whose sum is σ = 2351462400. Its totient is φ = 1690128000.

The previous prime is 2004364409. The next prime is 2004364433. The reversal of 2004364417 is 7144634002.

It is not a de Polignac number, because 2004364417 - 23 = 2004364409 is a prime.

It is a super-2 number, since 2×20043644172 = 8034953432271499778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004364457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063742 + ... + 2064712.

It is an arithmetic number, because the mean of its divisors is an integer number (73483200).

Almost surely, 22004364417 is an apocalyptic number.

It is an amenable number.

2004364417 is a deficient number, since it is larger than the sum of its proper divisors (347097983).

2004364417 is a wasteful number, since it uses less digits than its factorization.

2004364417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245.

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2004364417 is about 44770.1286238939. The cubic root of 2004364417 is about 1260.8368542004.

Adding to 2004364417 its reverse (7144634002), we get a palindrome (9148998419).

The spelling of 2004364417 in words is "two billion, four million, three hundred sixty-four thousand, four hundred seventeen".

Divisors: 1 11 23 41 199 253 451 943 971 2189 4577 8159 10373 10681 22333 39811 50347 89749 187657 193229 245663 437921 915653 2064227 2125519 4444267 7922389 10072183 48886937 87146279 182214947 2004364417