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313305 = 3520887
BaseRepresentation
bin1001100011111011001
3120220202220
41030133121
540011210
610414253
72443266
oct1143731
9526686
10313305
111a4433
12131389
13ac7b5
148226d
1562c70
hex4c7d9

313305 has 8 divisors (see below), whose sum is σ = 501312. Its totient is φ = 167088.

The previous prime is 313301. The next prime is 313307. The reversal of 313305 is 503313.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 313305 - 22 = 313301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 20887 = 313305 / (3 + 1 + 3 + 3 + 0 + 5).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313301) 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, 10429 + ... + 10458.

It is an arithmetic number, because the mean of its divisors is an integer number (62664).

2313305 is an apocalyptic number.

It is an amenable number.

313305 is a deficient number, since it is larger than the sum of its proper divisors (188007).

313305 is a wasteful number, since it uses less digits than its factorization.

313305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20895.

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 313305 is about 559.7365451710. The cubic root of 313305 is about 67.9186599504.

Adding to 313305 its reverse (503313), we get a palindrome (816618).

The spelling of 313305 in words is "three hundred thirteen thousand, three hundred five".

Divisors: 1 3 5 15 20887 62661 104435 313305