Search a number
-
+
311243312 = 24291076269
BaseRepresentation
bin10010100011010…
…011001000110000
3210200122210120002
4102203103020300
51114134241222
650515005132
710466344622
oct2243231060
9720583502
10311243312
1114a763786
12882997a8
134c636553
142d49cc12
151c4d0392
hex128d3230

311243312 has 40 divisors (see below), whose sum is σ = 629758800. Its totient is φ = 148827392.

The previous prime is 311243281. The next prime is 311243321. The reversal of 311243312 is 213342113.

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 7 ways as a sum of consecutive naturals, for example, 46514 + ... + 52782.

It is an arithmetic number, because the mean of its divisors is an integer number (15743970).

Almost surely, 2311243312 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 311243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314879400).

311243312 is an abundant number, since it is smaller than the sum of its proper divisors (318515488).

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

311243312 is a wasteful number, since it uses less digits than its factorization.

311243312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6407 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 311243312 is about 17642.0892186838. The cubic root of 311243312 is about 677.6935351198.

Adding to 311243312 its reverse (213342113), we get a palindrome (524585425).

The spelling of 311243312 in words is "three hundred eleven million, two hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 107 116 214 232 428 464 856 1712 3103 6206 6269 12412 12538 24824 25076 49648 50152 100304 181801 363602 670783 727204 1341566 1454408 2683132 2908816 5366264 10732528 19452707 38905414 77810828 155621656 311243312