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331485 = 35721141
BaseRepresentation
bin1010000111011011101
3121211201020
41100323131
541101420
611034353
72550300
oct1207335
9554636
10331485
11207060
1213b9b9
13b7b5b
1488b37
1568340
hex50edd

331485 has 48 divisors (see below), whose sum is σ = 689472. Its totient is φ = 134400.

The previous prime is 331451. The next prime is 331489. The reversal of 331485 is 584133.

It is not a de Polignac number, because 331485 - 218 = 69341 is a prime.

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 331485.

It is not an unprimeable number, because it can be changed into a prime (331489) 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 47 ways as a sum of consecutive naturals, for example, 8065 + ... + 8105.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2331485 is an apocalyptic number.

331485 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

331485 is an abundant number, since it is smaller than the sum of its proper divisors (357987).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331485 is a wasteful number, since it uses less digits than its factorization.

331485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 67 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 331485 is about 575.7473404194. The cubic root of 331485 is about 69.2077335516.

It can be divided in two parts, 33148 and 5, that added together give a triangular number (33153 = T257).

The spelling of 331485 in words is "three hundred thirty-one thousand, four hundred eighty-five".

Divisors: 1 3 5 7 11 15 21 33 35 41 49 55 77 105 123 147 165 205 231 245 287 385 451 539 615 735 861 1155 1353 1435 1617 2009 2255 2695 3157 4305 6027 6765 8085 9471 10045 15785 22099 30135 47355 66297 110495 331485