Search a number
-
+
3000296 = 2313171697
BaseRepresentation
bin1011011100011111101000
312122102122002
423130133220
51232002141
6144150132
734334135
oct13343750
95572562
103000296
11176a192
121008348
13810830
1458158c
153e3e9b
hex2dc7e8

3000296 has 32 divisors (see below), whose sum is σ = 6418440. Its totient is φ = 1302528.

The previous prime is 3000289. The next prime is 3000299. The reversal of 3000296 is 6920003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2937796 + 62500 = 1714^2 + 250^2 .

It is not an unprimeable number, because it can be changed into a prime (3000299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 920 + ... + 2616.

Almost surely, 23000296 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 3000296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209220).

3000296 is an abundant number, since it is smaller than the sum of its proper divisors (3418144).

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

3000296 is a wasteful number, since it uses less digits than its factorization.

3000296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3000296 is about 1732.1362533011. The cubic root of 3000296 is about 144.2297002733.

Adding to 3000296 its reverse (6920003), we get a palindrome (9920299).

The spelling of 3000296 in words is "three million, two hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1697 1768 3394 6788 13576 22061 28849 44122 57698 88244 115396 176488 230792 375037 750074 1500148 3000296