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214336 = 2617197
BaseRepresentation
bin110100010101000000
3101220000101
4310111000
523324321
64332144
71551613
oct642500
9356011
10214336
11137041
12a4054
1376735
145817a
1543791
hex34540

214336 has 28 divisors (see below), whose sum is σ = 452628. Its totient is φ = 100352.

The previous prime is 214309. The next prime is 214351. The reversal of 214336 is 633412.

It can be written as a sum of positive squares in 2 ways, for example, as 193600 + 20736 = 440^2 + 144^2 .

Its product of digits (432) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 990 + ... + 1186.

2214336 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 214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226314).

214336 is an abundant number, since it is smaller than the sum of its proper divisors (238292).

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

214336 is a wasteful number, since it uses less digits than its factorization.

214336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 214336 is about 462.9643614794. The cubic root of 214336 is about 59.8455285769.

Adding to 214336 its reverse (633412), we get a palindrome (847748).

The spelling of 214336 in words is "two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 197 272 394 544 788 1088 1576 3152 3349 6304 6698 12608 13396 26792 53584 107168 214336