Search a number
-
+
23146384 = 2417431979
BaseRepresentation
bin101100001001…
…0111110010000
31121112221212111
41120102332100
521411141014
62144035104
7400512112
oct130227620
947487774
1023146384
111207a248
127902a94
134a455b1
1431073b2
1520732c4
hex1612f90

23146384 has 40 divisors (see below), whose sum is σ = 48612960. Its totient is φ = 10633728.

The previous prime is 23146373. The next prime is 23146393. The reversal of 23146384 is 48364132.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10707 + ... + 12685.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 223146384 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 23146384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

23146384 is an abundant number, since it is smaller than the sum of its proper divisors (25466576).

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

23146384 is a wasteful number, since it uses less digits than its factorization.

23146384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2041 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 23146384 is about 4811.0689041002. The cubic root of 23146384 is about 284.9887509667.

The spelling of 23146384 in words is "twenty-three million, one hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 1979 2924 3958 5848 7916 11696 15832 31664 33643 67286 85097 134572 170194 269144 340388 538288 680776 1361552 1446649 2893298 5786596 11573192 23146384