Search a number
-
+
312000311 = 7192345867
BaseRepresentation
bin10010100110001…
…011111100110111
3210202002020222002
4102212023330313
51114333002221
650543125515
710505646620
oct2246137467
9722066862
10312000311
111501304a7
12885a389b
134c83cc8c
142d618a47
151c5ce80b
hex1298bf37

312000311 has 8 divisors (see below), whose sum is σ = 375338880. Its totient is φ = 253353528.

The previous prime is 312000301. The next prime is 312000323. The reversal of 312000311 is 113000213.

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

It is a cyclic number.

It is not a de Polignac number, because 312000311 - 214 = 311983927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312000292 and 312000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172801 + ... + 1173066.

It is an arithmetic number, because the mean of its divisors is an integer number (46917360).

Almost surely, 2312000311 is an apocalyptic number.

312000311 is a deficient number, since it is larger than the sum of its proper divisors (63338569).

312000311 is a wasteful number, since it uses less digits than its factorization.

312000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345893.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 312000311 is about 17663.5305361074. The cubic root of 312000311 is about 678.2425139589.

Adding to 312000311 its reverse (113000213), we get a palindrome (425000524).

The spelling of 312000311 in words is "three hundred twelve million, three hundred eleven", and thus it is an aban number.

Divisors: 1 7 19 133 2345867 16421069 44571473 312000311