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322020 = 223251789
BaseRepresentation
bin1001110100111100100
3121100201200
41032213210
540301040
610522500
72510556
oct1164744
9540650
10322020
111aaa36
12136430
13b375a
14854d6
1565630
hex4e9e4

322020 has 36 divisors (see below), whose sum is σ = 977340. Its totient is φ = 85824.

The previous prime is 322013. The next prime is 322037. The reversal of 322020 is 20223.

322020 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 224676 + 97344 = 474^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 321993 and 322011.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 322020.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715 + ... + 1074.

2322020 is an apocalyptic number.

322020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322020 is an abundant number, since it is smaller than the sum of its proper divisors (655320).

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

322020 is a wasteful number, since it uses less digits than its factorization.

322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 322020 is about 567.4680607752. The cubic root of 322020 is about 68.5426590622.

Adding to 322020 its reverse (20223), we get a palindrome (342243).

It can be divided in two parts, 3220 and 20, that added together give a triangular number (3240 = T80).

The spelling of 322020 in words is "three hundred twenty-two thousand, twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1789 3578 5367 7156 8945 10734 16101 17890 21468 26835 32202 35780 53670 64404 80505 107340 161010 322020