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305325 = 32522359
BaseRepresentation
bin1001010100010101101
3120111211100
41022202231
534232300
610313313
72411106
oct1124255
9514740
10305325
11199439
12128839
13a8c87
147d3ad
1560700
hex4a8ad

305325 has 36 divisors (see below), whose sum is σ = 580320. Its totient is φ = 153120.

The previous prime is 305297. The next prime is 305329. The reversal of 305325 is 523503.

Added to its reverse (523503) it gives a triangular number (828828 = T1287).

It is not a de Polignac number, because 305325 - 28 = 305069 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 305298 and 305307.

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 305325.

It is not an unprimeable number, because it can be changed into a prime (305329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5146 + ... + 5204.

It is an arithmetic number, because the mean of its divisors is an integer number (16120).

2305325 is an apocalyptic number.

It is an amenable number.

305325 is a deficient number, since it is larger than the sum of its proper divisors (274995).

305325 is a wasteful number, since it uses less digits than its factorization.

305325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 305325 is about 552.5622136918. The cubic root of 305325 is about 67.3370555295.

Adding to 305325 its reverse (523503), we get a palindrome (828828).

It can be divided in two parts, 305 and 325, that added together give a triangular number (630 = T35).

The spelling of 305325 in words is "three hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 59 69 75 115 177 207 225 295 345 531 575 885 1035 1357 1475 1725 2655 4071 4425 5175 6785 12213 13275 20355 33925 61065 101775 305325