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213348 = 22323773
BaseRepresentation
bin110100000101100100
3101211122210
4310011210
523311343
64323420
71546002
oct640544
9354583
10213348
11136323
12a3570
1376155
1457a72
1543333
hex34164

213348 has 24 divisors (see below), whose sum is σ = 520128. Its totient is φ = 67936.

The previous prime is 213337. The next prime is 213349. The reversal of 213348 is 843312.

It is a happy number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (213349) by changing a digit.

213348 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 7 ways as a sum of consecutive naturals, for example, 111 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (21672).

2213348 is an apocalyptic number.

It is an amenable number.

213348 is an abundant number, since it is smaller than the sum of its proper divisors (306780).

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

213348 is a wasteful number, since it uses less digits than its factorization.

213348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 801 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 213348 is about 461.8960922112. The cubic root of 213348 is about 59.7534325742.

It can be divided in two parts, 213 and 348, that added together give a triangular number (561 = T33).

The spelling of 213348 in words is "two hundred thirteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 773 1546 2319 3092 4638 9276 17779 35558 53337 71116 106674 213348