Search a number
-
+
300000312 = 23324166671
BaseRepresentation
bin10001111000011…
…010010000111000
3202220111121001200
4101320122100320
51103300002222
645434014200
710301650323
oct2170322070
9686447050
10300000312
11144384747
1284577360
134a1caca1
142bbb37ba
151b50deac
hex11e1a438

300000312 has 24 divisors (see below), whose sum is σ = 812501040. Its totient is φ = 100000080.

The previous prime is 300000277. The next prime is 300000317. The reversal of 300000312 is 213000003.

It is a happy number.

300000312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 300000294 and 300000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300000317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2083264 + ... + 2083407.

It is an arithmetic number, because the mean of its divisors is an integer number (33854210).

Almost surely, 2300000312 is an apocalyptic number.

It is an amenable number.

300000312 is an abundant number, since it is smaller than the sum of its proper divisors (512500728).

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

300000312 is a wasteful number, since it uses less digits than its factorization.

300000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166683 (or 4166676 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 300000312 is about 17320.5170823506. The cubic root of 300000312 is about 669.4331821522.

Adding to 300000312 its reverse (213000003), we get a palindrome (513000315).

The spelling of 300000312 in words is "three hundred million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4166671 8333342 12500013 16666684 25000026 33333368 37500039 50000052 75000078 100000104 150000156 300000312