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680328 = 233211859
BaseRepresentation
bin10100110000110001000
31021120020100
42212012020
5133232303
622325400
75532315
oct2460610
91246210
10680328
11425160
12289860
131aa87c
14139d0c
15d68a3
hexa6188

680328 has 48 divisors (see below), whose sum is σ = 2012400. Its totient is φ = 205920.

The previous prime is 680327. The next prime is 680341. The reversal of 680328 is 823086.

It is not an unprimeable number, because it can be changed into a prime (680321) 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 11 ways as a sum of consecutive naturals, for example, 363 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (41925).

2680328 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 680328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006200).

680328 is an abundant number, since it is smaller than the sum of its proper divisors (1332072).

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

680328 is a wasteful number, since it uses less digits than its factorization.

680328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 680328 is about 824.8199803594. The cubic root of 680328 is about 87.9507299953.

The spelling of 680328 in words is "six hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 859 1718 2577 3436 5154 6872 7731 9449 10308 15462 18898 20616 28347 30924 37796 56694 61848 75592 85041 113388 170082 226776 340164 680328