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676338 = 231322329
BaseRepresentation
bin10100101000111110010
31021100202120
42211013302
5133120323
622255110
75514555
oct2450762
91240676
10676338
11422163
12287496
131a8b00
1413869c
15d55e3
hexa51f2

676338 has 48 divisors (see below), whose sum is σ = 1581120. Its totient is φ = 192192.

The previous prime is 676337. The next prime is 676339. The reversal of 676338 is 833676.

It is a happy number.

676338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (676337) and next prime (676339).

It is a junction number, because it is equal to n+sod(n) for n = 676299 and 676308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23308 + ... + 23336.

It is an arithmetic number, because the mean of its divisors is an integer number (32940).

2676338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790560).

676338 is an abundant number, since it is smaller than the sum of its proper divisors (904782).

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

676338 is a wasteful number, since it uses less digits than its factorization.

676338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 676338 is about 822.3977140046. The cubic root of 676338 is about 87.7784544210.

The spelling of 676338 in words is "six hundred seventy-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 13 23 26 29 39 46 58 69 78 87 138 169 174 299 338 377 507 598 667 754 897 1014 1131 1334 1794 2001 2262 3887 4002 4901 7774 8671 9802 11661 14703 17342 23322 26013 29406 52026 112723 225446 338169 676338