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676736 = 2717311
BaseRepresentation
bin10100101001110000000
31021101022022
42211032000
5133123421
622301012
75515664
oct2451600
91241268
10676736
11422495
12287768
131a9048
141388a4
15d57ab
hexa5380

676736 has 32 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 317440.

The previous prime is 676733. The next prime is 676747. The reversal of 676736 is 637676.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×6767362 = 915943227392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 676696 and 676705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676733) by changing a digit.

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, 2021 + ... + 2331.

2676736 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 676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

676736 is an abundant number, since it is smaller than the sum of its proper divisors (755344).

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

676736 is a wasteful number, since it uses less digits than its factorization.

676736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its digits is 31752, while the sum is 35.

The square root of 676736 is about 822.6396537975. The cubic root of 676736 is about 87.7956691737.

Subtracting from 676736 its reverse (637676), we obtain a triangular number (39060 = T279).

The spelling of 676736 in words is "six hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 311 544 622 1088 1244 2176 2488 4976 5287 9952 10574 19904 21148 39808 42296 84592 169184 338368 676736