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303212 = 22731317
BaseRepresentation
bin1001010000001101100
3120101221002
41022001230
534200322
610255432
72402000
oct1120154
9511832
10303212
11197898
12127578
13a8020
147c700
155ec92
hex4a06c

303212 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 112896.

The previous prime is 303187. The next prime is 303217. The reversal of 303212 is 212303.

303212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 303193 and 303202.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 303212.

It is not an unprimeable number, because it can be changed into a prime (303217) by changing a digit.

303212 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17828 + ... + 17844.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2303212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

303212 is an abundant number, since it is smaller than the sum of its proper divisors (402388).

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

303212 is a wasteful number, since it uses less digits than its factorization.

303212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 303212 is about 550.6468923003. The cubic root of 303212 is about 67.1813605712.

Adding to 303212 its reverse (212303), we get a palindrome (515515).

Subtracting from 303212 its reverse (212303), we obtain a palindrome (90909).

It can be divided in two parts, 303 and 212, that added together give a palindrome (515).

The spelling of 303212 in words is "three hundred three thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 343 364 442 476 637 686 833 884 1274 1372 1547 1666 2548 3094 3332 4459 5831 6188 8918 10829 11662 17836 21658 23324 43316 75803 151606 303212