Search a number
-
+
23340031 = 1113179601
BaseRepresentation
bin101100100001…
…0001111111111
31121220210111121
41121002033333
521433340111
62152131411
7402246511
oct131021777
947823447
1023340031
11121a1790
127996b67
134ab2790
143157bb1
1520b0871
hex16423ff

23340031 has 16 divisors (see below), whose sum is σ = 29036448. Its totient is φ = 18432000.

The previous prime is 23340019. The next prime is 23340047. The reversal of 23340031 is 13004332.

It is a 14-Lehmer number, since φ(23340031) divides (23340031-1)14.

It is a cyclic number.

It is not a de Polignac number, because 23340031 - 211 = 23337983 is a prime.

It is a super-2 number, since 2×233400312 = 1089514094161922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23339987 and 23340014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23340001) 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, 2370 + ... + 7231.

It is an arithmetic number, because the mean of its divisors is an integer number (1814778).

Almost surely, 223340031 is an apocalyptic number.

23340031 is a deficient number, since it is larger than the sum of its proper divisors (5696417).

23340031 is a wasteful number, since it uses less digits than its factorization.

23340031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 23340031 is about 4831.1521400179. The cubic root of 23340031 is about 285.7813013395.

Adding to 23340031 its reverse (13004332), we get a palindrome (36344363).

The spelling of 23340031 in words is "twenty-three million, three hundred forty thousand, thirty-one".

Divisors: 1 11 13 17 143 187 221 2431 9601 105611 124813 163217 1372943 1795387 2121821 23340031