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320420 = 22537433
BaseRepresentation
bin1001110001110100100
3121021112102
41032032210
540223140
610511232
72503112
oct1161644
9537472
10320420
111a9811
12135518
13b2ac9
1484ab2
1564e15
hex4e3a4

320420 has 24 divisors (see below), whose sum is σ = 692664. Its totient is φ = 124416.

The previous prime is 320417. The next prime is 320431. The reversal of 320420 is 24023.

It can be written as a sum of positive squares in 4 ways, for example, as 33124 + 287296 = 182^2 + 536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (28861).

2320420 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 320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346332).

320420 is an abundant number, since it is smaller than the sum of its proper divisors (372244).

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

320420 is a wasteful number, since it uses less digits than its factorization.

320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 320420 is about 566.0565342790. The cubic root of 320420 is about 68.4289493637.

Adding to 320420 its reverse (24023), we get a palindrome (344443).

The spelling of 320420 in words is "three hundred twenty thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 37 74 148 185 370 433 740 866 1732 2165 4330 8660 16021 32042 64084 80105 160210 320420