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23348961 = 323770117
BaseRepresentation
bin101100100010…
…0011011100001
31121221020202100
41121010123201
521434131321
62152241013
7402314526
oct131043341
947836670
1023348961
11121a8469
1279a0169
134ab686c
14315b14d
1520b3326
hex16446e1

23348961 has 12 divisors (see below), whose sum is σ = 34638292. Its totient is φ = 15145056.

The previous prime is 23348959. The next prime is 23348981. The reversal of 23348961 is 16984332.

It can be written as a sum of positive squares in 2 ways, for example, as 15681600 + 7667361 = 3960^2 + 2769^2 .

It is not a de Polignac number, because 23348961 - 21 = 23348959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23348911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34726 + ... + 35391.

Almost surely, 223348961 is an apocalyptic number.

It is an amenable number.

23348961 is a deficient number, since it is larger than the sum of its proper divisors (11289331).

23348961 is a wasteful number, since it uses less digits than its factorization.

23348961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70160 (or 70157 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 23348961 is about 4832.0762618154. The cubic root of 23348961 is about 285.8177437592.

It can be divided in two parts, 233 and 48961, that added together give a palindrome (49194).

The spelling of 23348961 in words is "twenty-three million, three hundred forty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 9 37 111 333 70117 210351 631053 2594329 7782987 23348961