Search a number
-
+
301422312 = 23324186421
BaseRepresentation
bin10001111101110…
…101011011101000
3210000011211200100
4101331311123220
51104131003222
645524305400
710320022152
oct2175653350
9700154610
10301422312
11145166054
1284b42260
134a5a82c9
142c063ad2
151b6e04ac
hex11f756e8

301422312 has 24 divisors (see below), whose sum is σ = 816352290. Its totient is φ = 100474080.

The previous prime is 301422311. The next prime is 301422323. The reversal of 301422312 is 213224103.

It can be written as a sum of positive squares in only one way, i.e., 175668516 + 125753796 = 13254^2 + 11214^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (301422311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2093139 + ... + 2093282.

Almost surely, 2301422312 is an apocalyptic number.

It is an amenable number.

301422312 is an abundant number, since it is smaller than the sum of its proper divisors (514929978).

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

301422312 is a wasteful number, since it uses less digits than its factorization.

301422312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186433 (or 4186426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 301422312 is about 17361.5181363843. The cubic root of 301422312 is about 670.4892186973.

Adding to 301422312 its reverse (213224103), we get a palindrome (514646415).

The spelling of 301422312 in words is "three hundred one million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4186421 8372842 12559263 16745684 25118526 33491368 37677789 50237052 75355578 100474104 150711156 301422312