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314046 = 23273239
BaseRepresentation
bin1001100101010111110
3120221210100
41030222332
540022141
610421530
72445405
oct1145276
9527710
10314046
111a4a47
121318a6
13acc35
148263c
15630b6
hex4cabe

314046 has 24 divisors (see below), whose sum is σ = 692640. Its totient is φ = 102816.

The previous prime is 314021. The next prime is 314059. The reversal of 314046 is 640413.

314046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 314046.

It is an unprimeable number.

314046 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 1195 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (28860).

2314046 is an apocalyptic number.

314046 is an abundant number, since it is smaller than the sum of its proper divisors (378594).

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

314046 is a wasteful number, since it uses less digits than its factorization.

314046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314046 is about 560.3980728018. The cubic root of 314046 is about 67.9721627696.

Subtracting from 314046 its sum of digits (18), we obtain a triangular number (314028 = T792).

Adding to 314046 its reverse (640413), we get a palindrome (954459).

The spelling of 314046 in words is "three hundred fourteen thousand, forty-six".

Divisors: 1 2 3 6 9 18 73 146 219 239 438 478 657 717 1314 1434 2151 4302 17447 34894 52341 104682 157023 314046