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3330 = 232537
BaseRepresentation
bin110100000010
311120100
4310002
5101310
623230
712465
oct6402
94510
103330
112558
121b16
131692
1412dc
15ec0
hexd02

3330 has 24 divisors (see below), whose sum is σ = 8892. Its totient is φ = 864.

The previous prime is 3329. The next prime is 3331. The reversal of 3330 is 333.

Adding to 3330 its reverse (333), we get a palindrome (3663).

It can be divided in two parts, 33 and 30, that multiplied together give a triangular number (990 = T44).

It is an interprime number because it is at equal distance from previous prime (3329) and next prime (3331).

It can be written as a sum of positive squares in 2 ways, for example, as 3249 + 81 = 57^2 + 9^2 .

It is a super-2 number, since 2×33302 = 22177800, which contains 22 as substring.

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

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

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 10 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3331) 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, 72 + ... + 108.

23330 is an apocalyptic number.

3330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446).

3330 is an abundant number, since it is smaller than the sum of its proper divisors (5562).

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

3330 is a wasteful number, since it uses less digits than its factorization.

3330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

The square root of 3330 is about 57.7061521850. The cubic root of 3330 is about 14.9330348225.

The spelling of 3330 in words is "three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330