Search a number
-
+
2330400001 = 17509269317
BaseRepresentation
bin1000101011100111…
…0001010100000001
320000102001120211011
42022321301110001
514233040300001
61023124320521
7111515034046
oct21271612401
96012046734
102330400001
11a964a5016
12550543141
132b1a5a217
141817031cd
15d98c8d51
hex8ae71501

2330400001 has 8 divisors (see below), whose sum is σ = 2472339240. Its totient is φ = 2189000448.

The previous prime is 2330399987. The next prime is 2330400073. The reversal of 2330400001 is 1000040332.

It can be written as a sum of positive squares in 4 ways, for example, as 1178136976 + 1152263025 = 34324^2 + 33945^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2330400001 - 25 = 2330399969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2330400101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126006 + ... + 143311.

It is an arithmetic number, because the mean of its divisors is an integer number (309042405).

Almost surely, 22330400001 is an apocalyptic number.

It is an amenable number.

2330400001 is a deficient number, since it is larger than the sum of its proper divisors (141939239).

2330400001 is a wasteful number, since it uses less digits than its factorization.

2330400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269843.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2330400001 is about 48274.2167310874. The cubic root of 2330400001 is about 1325.7963649339.

Adding to 2330400001 its reverse (1000040332), we get a palindrome (3330440333).

The spelling of 2330400001 in words is "two billion, three hundred thirty million, four hundred thousand, one".

Divisors: 1 17 509 8653 269317 4578389 137082353 2330400001