Search a number
-
+
320312436 = 223172276917
BaseRepresentation
bin10011000101111…
…001010001110100
3211022201120001120
4103011321101310
51123444444221
651441223540
710636416333
oct2305712164
9738646046
10320312436
11154898524
128b331bb0
13514904b2
143077dd1a
151d1c25c6
hex13179474

320312436 has 48 divisors (see below), whose sum is σ = 794961216. Its totient is φ = 100033024.

The previous prime is 320312417. The next prime is 320312437. The reversal of 320312436 is 634213023.

320312436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320312437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42850 + ... + 49766.

It is an arithmetic number, because the mean of its divisors is an integer number (16561692).

Almost surely, 2320312436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320312436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397480608).

320312436 is an abundant number, since it is smaller than the sum of its proper divisors (474648780).

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

320312436 is a wasteful number, since it uses less digits than its factorization.

320312436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 320312436 is about 17897.2745411138. The cubic root of 320312436 is about 684.2129137801.

Adding to 320312436 its reverse (634213023), we get a palindrome (954525459).

The spelling of 320312436 in words is "three hundred twenty million, three hundred twelve thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 227 454 681 908 1362 2724 3859 6917 7718 11577 13834 15436 20751 23154 27668 41502 46308 83004 117589 235178 352767 470356 705534 1411068 1570159 3140318 4710477 6280636 9420954 18841908 26692703 53385406 80078109 106770812 160156218 320312436