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814398 = 231353197
BaseRepresentation
bin11000110110100111110
31112101010220
43012310332
5202030043
625242210
76631224
oct3066476
91471126
10814398
11506962
12333366
132268c0
14172b14
15111483
hexc6d3e

814398 has 32 divisors (see below), whose sum is σ = 1796256. Its totient is φ = 244608.

The previous prime is 814393. The next prime is 814399. The reversal of 814398 is 893418.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4036 + ... + 4232.

It is an arithmetic number, because the mean of its divisors is an integer number (56133).

2814398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898128).

814398 is an abundant number, since it is smaller than the sum of its proper divisors (981858).

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

814398 is a wasteful number, since it uses less digits than its factorization.

814398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its digits is 6912, while the sum is 33.

The square root of 814398 is about 902.4400257081. The cubic root of 814398 is about 93.3853819667.

The spelling of 814398 in words is "eight hundred fourteen thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 197 318 394 591 689 1182 1378 2067 2561 4134 5122 7683 10441 15366 20882 31323 62646 135733 271466 407199 814398