Search a number
-
+
312020309 = 2934930829
BaseRepresentation
bin10010100110010…
…000110101010101
3210202010021101202
4102212100311111
51114334122214
650543402245
710506062126
oct2246206525
9722107352
10312020309
11150144527
12885b3385
134c849103
142d62204d
151c5d56de
hex12990d55

312020309 has 8 divisors (see below), whose sum is σ = 323715000. Its totient is φ = 300388032.

The previous prime is 312020257. The next prime is 312020327. The reversal of 312020309 is 903020213.

It can be written as a sum of positive squares in 4 ways, for example, as 144240100 + 167780209 = 12010^2 + 12953^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312020309 - 220 = 310971733 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312020399) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5294 + ... + 25535.

It is an arithmetic number, because the mean of its divisors is an integer number (40464375).

Almost surely, 2312020309 is an apocalyptic number.

It is an amenable number.

312020309 is a deficient number, since it is larger than the sum of its proper divisors (11694691).

312020309 is a wasteful number, since it uses less digits than its factorization.

312020309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31207.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 312020309 is about 17664.0966086579. The cubic root of 312020309 is about 678.2570045470.

The spelling of 312020309 in words is "three hundred twelve million, twenty thousand, three hundred nine".

Divisors: 1 29 349 10121 30829 894041 10759321 312020309