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320949 = 3311887
BaseRepresentation
bin1001110010110110101
3121022021000
41032112311
540232244
610513513
72504466
oct1162665
9538230
10320949
111aa152
12135899
13b3115
1484d6d
1565169
hex4e5b5

320949 has 8 divisors (see below), whose sum is σ = 475520. Its totient is φ = 213948.

The previous prime is 320941. The next prime is 320953. The reversal of 320949 is 949023.

It is not a de Polignac number, because 320949 - 23 = 320941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11887 = 320949 / (3 + 2 + 0 + 9 + 4 + 9).

It is a Duffinian number.

It is a plaindrome in base 12.

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 320949.

It is not an unprimeable number, because it can be changed into a prime (320941) 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 7 ways as a sum of consecutive naturals, for example, 5917 + ... + 5970.

It is an arithmetic number, because the mean of its divisors is an integer number (59440).

2320949 is an apocalyptic number.

It is an amenable number.

320949 is a deficient number, since it is larger than the sum of its proper divisors (154571).

320949 is a wasteful number, since it uses less digits than its factorization.

320949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 320949 is about 566.5236093933. The cubic root of 320949 is about 68.4665864353.

The spelling of 320949 in words is "three hundred twenty thousand, nine hundred forty-nine".

Divisors: 1 3 9 27 11887 35661 106983 320949