Search a number
676368 = 243271161
BaseRepresentation
bin10100101001000010000
31021100210200
42211020100
5133120433
622255200
75514630
oct2451020
91240720
10676368
11422190
12287500
131a8b24
141386c0
15d5613
hexa5210

676368 has 120 divisors (see below), whose sum is σ = 2398656. Its totient is φ = 172800.

The previous prime is 676363. The next prime is 676373. The reversal of 676368 is 863676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (676363) and next prime (676373).

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 (36288) is a multiple of the sum of its prime divisors (84).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (676363) by changing a digit.

676368 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 23 ways as a sum of consecutive naturals, for example, 11058 + ... + 11118.

2676368 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 676368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199328).

676368 is an abundant number, since it is smaller than the sum of its proper divisors (1722288).

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

676368 is a wasteful number, since it uses less digits than its factorization.

676368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 676368 is about 822.4159531527. The cubic root of 676368 is about 87.7797522507.

The spelling of 676368 in words is "six hundred seventy-six thousand, three hundred sixty-eight".