Search a number
-
+
3000312 = 233275953
BaseRepresentation
bin1011011100011111111000
312122102122200
423130133320
51232002222
6144150200
734334160
oct13343770
95572580
103000312
11176a1a7
121008360
13810843
145815a0
153e3eac
hex2dc7f8

3000312 has 48 divisors (see below), whose sum is σ = 9288240. Its totient is φ = 857088.

The previous prime is 3000301. The next prime is 3000317. The reversal of 3000312 is 2130003.

It is a happy number.

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 = 3000294 and 3000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000317) 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, 2473 + ... + 3480.

It is an arithmetic number, because the mean of its divisors is an integer number (193505).

Almost surely, 23000312 is an apocalyptic number.

It is an amenable number.

3000312 is an abundant number, since it is smaller than the sum of its proper divisors (6287928).

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

3000312 is a wasteful number, since it uses less digits than its factorization.

3000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5965 counting only the distinct ones).

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

The square root of 3000312 is about 1732.1408718693. The cubic root of 3000312 is about 144.2299566559.

Adding to 3000312 its reverse (2130003), we get a palindrome (5130315).

The spelling of 3000312 in words is "three million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 5953 11906 17859 23812 35718 41671 47624 53577 71436 83342 107154 125013 142872 166684 214308 250026 333368 375039 428616 500052 750078 1000104 1500156 3000312