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212304 = 2434423
BaseRepresentation
bin110011110101010000
3101210020010
4303311100
523243204
64314520
71542651
oct636520
9353203
10212304
11135564
12a2a40
1375831
1457528
1542d89
hex33d50

212304 has 20 divisors (see below), whose sum is σ = 548576. Its totient is φ = 70752.

The previous prime is 212297. The next prime is 212353. The reversal of 212304 is 403212.

Adding to 212304 its reverse (403212), we get a palindrome (615516).

It can be divided in two parts, 21 and 2304, that multiplied together give a palindrome (48384).

212304 is digitally balanced in base 2, 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 (12).

It is a self number, because there is not a number n which added to its sum of digits gives 212304.

It is a congruent number.

It is an unprimeable number.

212304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2164 + ... + 2259.

2212304 is an apocalyptic number.

212304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212304 is an abundant number, since it is smaller than the sum of its proper divisors (336272).

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

212304 is a wasteful number, since it uses less digits than its factorization.

212304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212304 is about 460.7645819722. The cubic root of 212304 is about 59.6558070738.

The spelling of 212304 in words is "two hundred twelve thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 4423 8846 13269 17692 26538 35384 53076 70768 106152 212304