Search a number
-
+
4230288 = 2432291013
BaseRepresentation
bin10000001000110010010000
321221220212100
4100020302100
52040332123
6230400400
750646126
oct20106220
97856770
104230288
11242a307
121500100
13b5163a
147c1916
15588643
hex408c90

4230288 has 60 divisors (see below), whose sum is σ = 12259260. Its totient is φ = 1360128.

The previous prime is 4230283. The next prime is 4230311. The reversal of 4230288 is 8820324.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 3504384 = 852^2 + 1872^2 .

It is not an unprimeable number, because it can be changed into a prime (4230283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3670 + ... + 4682.

It is an arithmetic number, because the mean of its divisors is an integer number (204321).

Almost surely, 24230288 is an apocalyptic number.

4230288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129630).

4230288 is an abundant number, since it is smaller than the sum of its proper divisors (8028972).

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

4230288 is a wasteful number, since it uses less digits than its factorization.

4230288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4230288 is about 2056.7663941245. The cubic root of 4230288 is about 161.7297735467.

The spelling of 4230288 in words is "four million, two hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1013 1044 1392 2026 2088 3039 4052 4176 6078 8104 9117 12156 16208 18234 24312 29377 36468 48624 58754 72936 88131 117508 145872 176262 235016 264393 352524 470032 528786 705048 1057572 1410096 2115144 4230288