Search a number
-
+
2004432117 = 33728363809
BaseRepresentation
bin111011101111001…
…0011010011110101
312011200200200221120
41313132103103311
513101113311432
6530521534153
7100446251262
oct16736232365
95150620846
102004432117
119394a4576
1247b344359
1325c36980c
141502d0269
15bae8ac2c
hex777934f5

2004432117 has 16 divisors (see below), whose sum is σ = 2754550080. Its totient is φ = 1295557632.

The previous prime is 2004432103. The next prime is 2004432127. The reversal of 2004432117 is 7112344002.

It is a happy number.

It is not a de Polignac number, because 2004432117 - 28 = 2004431861 is a prime.

It is a super-3 number, since 3×20044321173 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004432127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492 + ... + 63317.

It is an arithmetic number, because the mean of its divisors is an integer number (172159380).

Almost surely, 22004432117 is an apocalyptic number.

It is an amenable number.

2004432117 is a deficient number, since it is larger than the sum of its proper divisors (750117963).

2004432117 is a wasteful number, since it uses less digits than its factorization.

2004432117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64132.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2004432117 is about 44770.8847020025. The cubic root of 2004432117 is about 1260.8510495056.

Adding to 2004432117 its reverse (7112344002), we get a palindrome (9116776119).

The spelling of 2004432117 in words is "two billion, four million, four hundred thirty-two thousand, one hundred seventeen".

Divisors: 1 3 37 111 283 849 10471 31413 63809 191427 2360933 7082799 18057947 54173841 668144039 2004432117