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331245 = 32517433
BaseRepresentation
bin1010000110111101101
3121211101100
41100313231
541044440
611033313
72546505
oct1206755
9554340
10331245
11206962
1213b839
13b7a05
1488a05
1568230
hex50ded

331245 has 24 divisors (see below), whose sum is σ = 609336. Its totient is φ = 165888.

The previous prime is 331241. The next prime is 331249. The reversal of 331245 is 542133.

It is an interprime number because it is at equal distance from previous prime (331241) and next prime (331249).

It can be written as a sum of positive squares in 4 ways, for example, as 19881 + 311364 = 141^2 + 558^2 .

It is not a de Polignac number, because 331245 - 22 = 331241 is a prime.

It is a Curzon number.

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 331245.

It is not an unprimeable number, because it can be changed into a prime (331241) 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 23 ways as a sum of consecutive naturals, for example, 549 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2331245 is an apocalyptic number.

It is an amenable number.

331245 is a deficient number, since it is larger than the sum of its proper divisors (278091).

331245 is a wasteful number, since it uses less digits than its factorization.

331245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 458 counting only the distinct ones).

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

The square root of 331245 is about 575.5388779222. The cubic root of 331245 is about 69.1910270478.

Adding to 331245 its reverse (542133), we get a palindrome (873378).

It can be divided in two parts, 331 and 245, that added together give a square (576 = 242).

The spelling of 331245 in words is "three hundred thirty-one thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 433 765 1299 2165 3897 6495 7361 19485 22083 36805 66249 110415 331245