Search a number
-
+
312206466 = 231113675431
BaseRepresentation
bin10010100110111…
…110010010000010
3210202110201202110
4102212332102002
51114411101331
650551400150
710510465635
oct2246762202
9722421673
10312206466
11150261380
1288683056
134c8b2a70
142d66dc1c
151c620946
hex129be482

312206466 has 64 divisors (see below), whose sum is σ = 744662016. Its totient is φ = 86011200.

The previous prime is 312206441. The next prime is 312206497. The reversal of 312206466 is 664602213.

312206466 = T373 + T374 + ... + T1243.

312206466 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 54771 + ... + 60201.

It is an arithmetic number, because the mean of its divisors is an integer number (11635344).

Almost surely, 2312206466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312206466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372331008).

312206466 is an abundant number, since it is smaller than the sum of its proper divisors (432455550).

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

312206466 is a wasteful number, since it uses less digits than its factorization.

312206466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 312206466 is about 17669.3651838429. The cubic root of 312206466 is about 678.3918645585.

Adding to 312206466 its reverse (664602213), we get a palindrome (976808679).

The spelling of 312206466 in words is "three hundred twelve million, two hundred six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 67 78 134 143 201 286 402 429 737 858 871 1474 1742 2211 2613 4422 5226 5431 9581 10862 16293 19162 28743 32586 57486 59741 70603 119482 141206 179223 211809 358446 363877 423618 727754 776633 1091631 1553266 2183262 2329899 4002647 4659798 4730401 8005294 9460802 12007941 14191203 24015882 28382406 52034411 104068822 156103233 312206466