Search a number
-
+
233400323 = 1322947623
BaseRepresentation
bin11011110100101…
…10100000000011
3121021011222001102
431322112200003
5434222302243
635054325015
75532604262
oct1572264003
9537158042
10233400323
1110a826132
12661b976b
133947cc00
1422dd85d9
15157559b8
hexde96803

233400323 has 12 divisors (see below), whose sum is σ = 261455760. Its totient is φ = 208012896.

The previous prime is 233400311. The next prime is 233400337. The reversal of 233400323 is 323004332.

It is a de Polignac number, because none of the positive numbers 2k-233400323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233400295 and 233400304.

It is not an unprimeable number, because it can be changed into a prime (233400383) 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 11 ways as a sum of consecutive naturals, for example, 18911 + ... + 28712.

It is an arithmetic number, because the mean of its divisors is an integer number (21787980).

Almost surely, 2233400323 is an apocalyptic number.

233400323 is a deficient number, since it is larger than the sum of its proper divisors (28055437).

233400323 is a wasteful number, since it uses less digits than its factorization.

233400323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47678 (or 47665 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 233400323 is about 15277.4449107172. Note that the first 3 decimals coincide. The cubic root of 233400323 is about 615.6971607993.

Adding to 233400323 its reverse (323004332), we get a palindrome (556404655).

The spelling of 233400323 in words is "two hundred thirty-three million, four hundred thousand, three hundred twenty-three".

Divisors: 1 13 29 169 377 4901 47623 619099 1381067 8048287 17953871 233400323