Search a number
-
+
301021312 = 2717138337
BaseRepresentation
bin10001111100010…
…011100010000000
3202222102110121111
4101330103202000
51104030140222
645511533104
710313432104
oct2174234200
9688373544
10301021312
11144a11849
128498a194
134a497927
142bd9b904
151b661777
hex11f13880

301021312 has 32 divisors (see below), whose sum is σ = 634971420. Its totient is φ = 141656064.

The previous prime is 301021297. The next prime is 301021349. The reversal of 301021312 is 213120103.

It can be written as a sum of positive squares in 2 ways, for example, as 300536896 + 484416 = 17336^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3010213122 = 181227660556402688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301021292 and 301021301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66993 + ... + 71344.

Almost surely, 2301021312 is an apocalyptic number.

301021312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

301021312 is an abundant number, since it is smaller than the sum of its proper divisors (333950108).

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

301021312 is a wasteful number, since it uses less digits than its factorization.

301021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138368 (or 138356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 301021312 is about 17349.9657636550. The cubic root of 301021312 is about 670.1917562073.

Adding to 301021312 its reverse (213120103), we get a palindrome (514141415).

It can be divided in two parts, 3010213 and 12, that added together give a square (3010225 = 17352).

The spelling of 301021312 in words is "three hundred one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 138337 276674 553348 1106696 2213392 2351729 4426784 4703458 8853568 9406916 17707136 18813832 37627664 75255328 150510656 301021312