3300 has 36 divisors (see below), whose sum is σ = 10416. Its totient is φ = 800.

The previous prime is 3299. The next prime is 3301. The reversal of 3300 is 33.

3300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3299) and next prime (3301).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 10 and base 15.

It is a zygodrome in base 9 and base 10.

It is not an unprimeable number, because it can be changed into a prime (3301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295 + ... + 305.

2^{3300} is an apocalyptic number.

3300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208).

3300 is an abundant number, since it is smaller than the sum of its proper divisors (7116).

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

3300 is a wasteful number, since it uses less digits than its factorization.

3300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 6.

The square root of 3300 is about 57.4456264654. The cubic root of 3300 is about 14.8880555295. Note that the first 3 decimals are identical.

Adding to 3300 its reverse (33), we get a palindrome (3333).

Multiplying 3300 by its reverse (33), we get a square (108900 = 330^{2}).

3300 divided by its reverse (33) gives a square (100 = 10^{2}).

It can be divided in two parts, 3 and 300, that multiplied together give a square (900 = 30^{2}).

The spelling of 3300 in words is "three thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300

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