Search a number
-
+
3012288 = 26329541
BaseRepresentation
bin1011011111011011000000
312200001002020
423133123000
51232343123
6144321440
734414116
oct13373300
95601066
103012288
1117781a4
121013280
13816126
14585ab6
153e77e3
hex2df6c0

3012288 has 56 divisors (see below), whose sum is σ = 8260080. Its totient is φ = 967680.

The previous prime is 3012283. The next prime is 3012323. The reversal of 3012288 is 8822103.

3012288 is nontrivially palindromic in base 15.

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

It is not an unprimeable number, because it can be changed into a prime (3012283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5298 + ... + 5838.

Almost surely, 23012288 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 3012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130040).

3012288 is an abundant number, since it is smaller than the sum of its proper divisors (5247792).

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

3012288 is a wasteful number, since it uses less digits than its factorization.

3012288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3012288 is about 1735.5944226691. The cubic root of 3012288 is about 144.4216039274.

The spelling of 3012288 in words is "three million, twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 541 696 928 1082 1392 1623 1856 2164 2784 3246 4328 5568 6492 8656 12984 15689 17312 25968 31378 34624 47067 51936 62756 94134 103872 125512 188268 251024 376536 502048 753072 1004096 1506144 3012288