Search a number
-
+
23431168 = 21117673
BaseRepresentation
bin101100101100…
…0100000000000
31122002102112001
41121120200000
521444244133
62154113344
7403106305
oct131304000
948072461
1023431168
1112254202
127a1b854
134b150c7
14317d0ac
1520cc87d
hex1658800

23431168 has 48 divisors (see below), whose sum is σ = 49680540. Its totient is φ = 11010048.

The previous prime is 23431157. The next prime is 23431169. The reversal of 23431168 is 86113432.

It can be written as a sum of positive squares in 2 ways, for example, as 23348224 + 82944 = 4832^2 + 288^2 .

It is not an unprimeable number, because it can be changed into a prime (23431169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34480 + ... + 35152.

Almost surely, 223431168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24840270).

23431168 is an abundant number, since it is smaller than the sum of its proper divisors (26249372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23431168 is an equidigital number, since it uses as much as digits as its factorization.

23431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 692 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 23431168 is about 4840.5751724356. The cubic root of 23431168 is about 286.1527864750.

The spelling of 23431168 in words is "twenty-three million, four hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 673 1024 1088 1346 2048 2176 2692 4352 5384 8704 10768 11441 17408 21536 22882 34816 43072 45764 86144 91528 172288 183056 344576 366112 689152 732224 1378304 1464448 2928896 5857792 11715584 23431168