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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".