Search a number
-
+
312032420 = 22574395077
BaseRepresentation
bin10010100110010…
…011110010100100
3210202010220000022
4102212103302210
51114340014140
650543534312
710506142340
oct2246236244
9722126008
10312032420
11150152637
12885ba398
134c85178b
142d626620
151c5d90b5
hex12993ca4

312032420 has 48 divisors (see below), whose sum is σ = 750731520. Its totient is φ = 106717824.

The previous prime is 312032417. The next prime is 312032443. The reversal of 312032420 is 24230213.

It is a super-2 number, since 2×3120324202 = 194728462262112800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58922 + ... + 63998.

It is an arithmetic number, because the mean of its divisors is an integer number (15640240).

Almost surely, 2312032420 is an apocalyptic number.

It is an amenable number.

312032420 is an abundant number, since it is smaller than the sum of its proper divisors (438699100).

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

312032420 is a wasteful number, since it uses less digits than its factorization.

312032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 312032420 is about 17664.4394193532. The cubic root of 312032420 is about 678.2657798992.

Adding to 312032420 its reverse (24230213), we get a palindrome (336262633).

The spelling of 312032420 in words is "three hundred twelve million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 439 878 1756 2195 3073 4390 5077 6146 8780 10154 12292 15365 20308 25385 30730 35539 50770 61460 71078 101540 142156 177695 355390 710780 2228803 4457606 8915212 11144015 15601621 22288030 31203242 44576060 62406484 78008105 156016210 312032420