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3320 = 23583
BaseRepresentation
bin110011111000
311112222
4303320
5101240
623212
712452
oct6370
94488
103320
112549
121b08
131685
1412d2
15eb5
hexcf8

3320 has 16 divisors (see below), whose sum is σ = 7560. Its totient is φ = 1312.

The previous prime is 3319. The next prime is 3323. The reversal of 3320 is 233.

Adding to 3320 its reverse (233), we get a palindrome (3553).

It can be divided in two parts, 3 and 320, that added together give a palindrome (323).

3320 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×33202 = 22044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 3 and base 9.

It is a nialpdrome in base 10 and base 15.

It is a zygodrome in base 2, base 3 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 3298 and 3307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323) 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 3 ways as a sum of consecutive naturals, for example, 2 + ... + 81.

23320 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 3320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780).

3320 is an abundant number, since it is smaller than the sum of its proper divisors (4240).

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

3320 is a wasteful number, since it uses less digits than its factorization.

3320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 3320 is about 57.6194411636. The cubic root of 3320 is about 14.9180718518.

The spelling of 3320 in words is "three thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320