Search a number
-
+
312445427 = 7371206353
BaseRepresentation
bin10010100111111…
…000100111110011
3210202220212112212
4102213320213303
51114441223202
651000442335
710512512420
oct2247704763
9722825485
10312445427
11150404968
12887793ab
134c967768
142d6d2d47
151c66b652
hex129f89f3

312445427 has 8 divisors (see below), whose sum is σ = 366731616. Its totient is φ = 260572032.

The previous prime is 312445423. The next prime is 312445429. The reversal of 312445427 is 724544213.

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

It is not a de Polignac number, because 312445427 - 22 = 312445423 is a prime.

It is a super-3 number, since 3×3124454273 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312445393 and 312445402.

It is not an unprimeable number, because it can be changed into a prime (312445421) 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, 602918 + ... + 603435.

It is an arithmetic number, because the mean of its divisors is an integer number (45841452).

Almost surely, 2312445427 is an apocalyptic number.

312445427 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

312445427 is a deficient number, since it is larger than the sum of its proper divisors (54286189).

312445427 is a wasteful number, since it uses less digits than its factorization.

312445427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206397.

The product of its digits is 26880, while the sum is 32.

The square root of 312445427 is about 17676.1259047338. The cubic root of 312445427 is about 678.5648994723.

The spelling of 312445427 in words is "three hundred twelve million, four hundred forty-five thousand, four hundred twenty-seven".

Divisors: 1 7 37 259 1206353 8444471 44635061 312445427