Search a number
-
+
23440128 = 283231327
BaseRepresentation
bin101100101101…
…0101100000000
31122002212210220
41121122230000
522000041003
62154223040
7403144365
oct131325400
948085726
1023440128
111225aa08
127a24a80
134b191ca
14318246c
1520d0353
hex165ab00

23440128 has 72 divisors (see below), whose sum is σ = 65146368. Its totient is φ = 7468032.

The previous prime is 23440099. The next prime is 23440133. The reversal of 23440128 is 82104432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23440098 and 23440107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17001 + ... + 18327.

Almost surely, 223440128 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 23440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32573184).

23440128 is an abundant number, since it is smaller than the sum of its proper divisors (41706240).

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

23440128 is a wasteful number, since it uses less digits than its factorization.

23440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 23440128 is about 4841.5005938242. The cubic root of 23440128 is about 286.1892564485.

The spelling of 23440128 in words is "twenty-three million, four hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1327 1472 2208 2654 2944 3981 4416 5308 5888 7962 8832 10616 15924 17664 21232 30521 31848 42464 61042 63696 84928 91563 122084 127392 169856 183126 244168 254784 339712 366252 488336 509568 732504 976672 1019136 1465008 1953344 2930016 3906688 5860032 7813376 11720064 23440128