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314325 = 325211127
BaseRepresentation
bin1001100101111010101
3120222011200
41030233111
540024300
610423113
72446254
oct1145725
9528150
10314325
111a5180
12131a99
13b00bb
148279b
1563200
hex4cbd5

314325 has 36 divisors (see below), whose sum is σ = 619008. Its totient is φ = 151200.

The previous prime is 314299. The next prime is 314329. The reversal of 314325 is 523413.

It is not a de Polignac number, because 314325 - 26 = 314261 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 314298 and 314307.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314325.

It is not an unprimeable number, because it can be changed into a prime (314329) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2412 + ... + 2538.

2314325 is an apocalyptic number.

It is an amenable number.

314325 is a deficient number, since it is larger than the sum of its proper divisors (304683).

314325 is a wasteful number, since it uses less digits than its factorization.

314325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 314325 is about 560.6469477309. The cubic root of 314325 is about 67.9922857454.

Adding to 314325 its reverse (523413), we get a palindrome (837738).

It can be divided in two parts, 31 and 4325, that added together give a square (4356 = 662).

The spelling of 314325 in words is "three hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 127 165 225 275 381 495 635 825 1143 1397 1905 2475 3175 4191 5715 6985 9525 12573 20955 28575 34925 62865 104775 314325