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368214 = 23711797
BaseRepresentation
bin1011001111001010110
3200201002120
41121321112
543240324
611520410
73062340
oct1317126
9621076
10368214
11231710
12159106
13cb7a2
1498290
1574179
hex59e56

368214 has 32 divisors (see below), whose sum is σ = 919296. Its totient is φ = 95520.

The previous prime is 368197. The next prime is 368227. The reversal of 368214 is 412863.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368214.

It is an unprimeable number.

368214 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2368214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

368214 is an abundant number, since it is smaller than the sum of its proper divisors (551082).

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

368214 is a wasteful number, since it uses less digits than its factorization.

368214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820.

The product of its digits is 1152, while the sum is 24.

The square root of 368214 is about 606.8063941654. The cubic root of 368214 is about 71.6748455301.

The spelling of 368214 in words is "three hundred sixty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 797 1594 2391 4782 5579 8767 11158 16737 17534 26301 33474 52602 61369 122738 184107 368214