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213424 = 2413339
BaseRepresentation
bin110100000110110000
3101211202121
4310012300
523312144
64324024
71546141
oct640660
9354677
10213424
11136392
12a3614
13761b3
1457ac8
1543384
hex341b0

213424 has 10 divisors (see below), whose sum is σ = 413540. Its totient is φ = 106704.

The previous prime is 213407. The next prime is 213449. The reversal of 213424 is 424312.

Adding to 213424 its reverse (424312), we get a palindrome (637736).

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 13339 = 213424 / (2 + 1 + 3 + 4 + 2 + 4).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 213398 and 213407.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 6654 + ... + 6685.

It is an arithmetic number, because the mean of its divisors is an integer number (41354).

2213424 is an apocalyptic number.

It is an amenable number.

213424 is a deficient number, since it is larger than the sum of its proper divisors (200116).

213424 is a wasteful number, since it uses less digits than its factorization.

213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13347 (or 13341 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 213424 is about 461.9783544713. The cubic root of 213424 is about 59.7605269642.

The spelling of 213424 in words is "two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 13339 26678 53356 106712 213424