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677376 = 293372
BaseRepresentation
bin10100101011000000000
31021102012000
42211120000
5133134001
622304000
75520600
oct2453000
91242160
10677376
11422a17
12288000
131a941b
14138c00
15d5a86
hexa5600

677376 has 120 divisors (see below), whose sum is σ = 2332440. Its totient is φ = 193536.

The previous prime is 677371. The next prime is 677387. The reversal of 677376 is 673776.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (37044) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 677376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677371) by changing a digit.

677376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96765 + ... + 96771.

It is an arithmetic number, because the mean of its divisors is an integer number (19437).

677376 is a Friedman number, since it can be written as ((7+7)*(6+6))^3/7, using all its digits and the basic arithmetic operations.

2677376 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 677376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166220).

677376 is an abundant number, since it is smaller than the sum of its proper divisors (1655064).

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

677376 is an equidigital number, since it uses as much as digits as its factorization.

677376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 12 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 677376 is about 823.0285535751. The cubic root of 677376 is about 87.8233370406.

Subtracting from 677376 its reverse (673776), we obtain a square (3600 = 602).

The spelling of 677376 in words is "six hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 378 384 392 432 441 448 504 512 576 588 672 756 768 784 864 882 896 1008 1152 1176 1323 1344 1512 1536 1568 1728 1764 1792 2016 2304 2352 2646 2688 3024 3136 3456 3528 3584 4032 4608 4704 5292 5376 6048 6272 6912 7056 8064 9408 10584 10752 12096 12544 13824 14112 16128 18816 21168 24192 25088 28224 32256 37632 42336 48384 56448 75264 84672 96768 112896 169344 225792 338688 677376