Search a number
-
+
431325 = 355271
BaseRepresentation
bin1101001010011011101
3210220200000
41221103131
5102300300
613124513
73444336
oct1512335
9726600
10431325
11275074
12189739
1312142b
14b328d
1587c00
hex694dd

431325 has 36 divisors (see below), whose sum is σ = 812448. Its totient is φ = 226800.

The previous prime is 431311. The next prime is 431329. The reversal of 431325 is 523134.

It is not a de Polignac number, because 431325 - 211 = 429277 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 431298 and 431307.

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 431325.

It is not an unprimeable number, because it can be changed into a prime (431329) 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, 6040 + ... + 6110.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2431325 is an apocalyptic number.

431325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431325 is a deficient number, since it is larger than the sum of its proper divisors (381123).

431325 is an equidigital number, since it uses as much as digits as its factorization.

431325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

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

The square root of 431325 is about 656.7533783697. The cubic root of 431325 is about 75.5558699365. Note that the first 3 decimals are identical.

Adding to 431325 its reverse (523134), we get a palindrome (954459).

Subtracting 431325 from its reverse (523134), we obtain a square (91809 = 3032).

It can be divided in two parts, 4 and 31325, that added together give a square (31329 = 1772).

The spelling of 431325 in words is "four hundred thirty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 71 75 81 135 213 225 243 355 405 639 675 1065 1215 1775 1917 2025 3195 5325 5751 6075 9585 15975 17253 28755 47925 86265 143775 431325