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320068 = 22722371
BaseRepresentation
bin1001110001001000100
3121021001101
41032021010
540220233
610505444
72502100
oct1161104
9537041
10320068
111a9521
12135284
13b28b8
1484900
1564c7d
hex4e244

320068 has 36 divisors (see below), whose sum is σ = 689472. Its totient is φ = 129360.

The previous prime is 320063. The next prime is 320081. The reversal of 320068 is 860023.

It is an Ulam number.

320068 is a Rhonda number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320063) 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, 4473 + ... + 4543.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2320068 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 320068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

320068 is an abundant number, since it is smaller than the sum of its proper divisors (369404).

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

320068 is a wasteful number, since it uses less digits than its factorization.

320068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 320068 is about 565.7455258329. The cubic root of 320068 is about 68.4038824558.

Adding to 320068 its product of nonzero digits (288), we get a square (320356 = 5662).

The spelling of 320068 in words is "three hundred twenty thousand, sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 49 71 92 98 142 161 196 284 322 497 644 994 1127 1633 1988 2254 3266 3479 4508 6532 6958 11431 13916 22862 45724 80017 160034 320068