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313212 = 22343607
BaseRepresentation
bin1001100011101111100
3120220122110
41030131330
540010322
610414020
72443104
oct1143574
9526573
10313212
111a4359
12131310
13ac743
1482204
1562c0c
hex4c77c

313212 has 24 divisors (see below), whose sum is σ = 749056. Its totient is φ = 101808.

The previous prime is 313211. The next prime is 313219. The reversal of 313212 is 212313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

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 313212.

It is not an unprimeable number, because it can be changed into a prime (313211) 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, 213 + ... + 819.

2313212 is an apocalyptic number.

It is an amenable number.

313212 is an abundant number, since it is smaller than the sum of its proper divisors (435844).

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

313212 is a wasteful number, since it uses less digits than its factorization.

313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 313212 is about 559.6534642080. The cubic root of 313212 is about 67.9119390656.

Adding to 313212 its reverse (212313), we get a palindrome (525525).

It can be divided in two parts, 313 and 212, that added together give a palindrome (525).

The spelling of 313212 in words is "three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 607 1214 1821 2428 3642 7284 26101 52202 78303 104404 156606 313212