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321320 = 23529277
BaseRepresentation
bin1001110011100101000
3121022202202
41032130220
540240240
610515332
72505536
oct1163450
9538682
10321320
111aa45a
12135b48
13b333c
1485156
1565315
hex4e728

321320 has 32 divisors (see below), whose sum is σ = 750600. Its totient is φ = 123648.

The previous prime is 321319. The next prime is 321323. The reversal of 321320 is 23123.

It can be written as a sum of positive squares in 4 ways, for example, as 209764 + 111556 = 458^2 + 334^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321320.

It is not an unprimeable number, because it can be changed into a prime (321323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022 + ... + 1298.

2321320 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 321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375300).

321320 is an abundant number, since it is smaller than the sum of its proper divisors (429280).

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

321320 is a wasteful number, since it uses less digits than its factorization.

321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 321320 is about 566.8509504270. The cubic root of 321320 is about 68.4929575227.

Adding to 321320 its reverse (23123), we get a palindrome (344443).

The spelling of 321320 in words is "three hundred twenty-one thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 277 290 554 580 1108 1160 1385 2216 2770 5540 8033 11080 16066 32132 40165 64264 80330 160660 321320