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214296 = 2338929
BaseRepresentation
bin110100010100011000
3101212221220
4310110120
523324141
64332040
71551525
oct642430
9355856
10214296
11137005
12a4020
1376704
145814c
1543766
hex34518

214296 has 16 divisors (see below), whose sum is σ = 535800. Its totient is φ = 71424.

The previous prime is 214283. The next prime is 214297. The reversal of 214296 is 692412.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8929 = 214296 / (2 + 1 + 4 + 2 + 9 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214297) by changing a digit.

214296 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 3 ways as a sum of consecutive naturals, for example, 4441 + ... + 4488.

2214296 is an apocalyptic number.

It is an amenable number.

214296 is an abundant number, since it is smaller than the sum of its proper divisors (321504).

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

214296 is a wasteful number, since it uses less digits than its factorization.

214296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8934 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 214296 is about 462.9211595942. The cubic root of 214296 is about 59.8418054971.

The spelling of 214296 in words is "two hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 8929 17858 26787 35716 53574 71432 107148 214296