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3240 = 23345
BaseRepresentation
bin110010101000
311110000
4302220
5100430
623000
712306
oct6250
94400
103240
112486
121a60
131623
141276
15e60
hexca8

3240 has 40 divisors (see below), whose sum is σ = 10890. Its totient is φ = 864.

The previous prime is 3229. The next prime is 3251. The reversal of 3240 is 423.

Adding to 3240 its reverse (423), we get a palindrome (3663).

It can be divided in two parts, 3 and 240, that added together give a 5-th power (243 = 35).

3240 is a nontrivial binomial coefficient, being equal to C(81, 2).

It is an interprime number because it is at equal distance from previous prime (3229) and next prime (3251).

It can be written as a sum of positive squares in only one way, i.e., 2916 + 324 = 54^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a nialpdrome in base 3, base 9, base 15 and base 16.

It is a zygodrome in base 3 and base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 646 + ... + 650.

3240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3240 is the 80-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445).

3240 is an abundant number, since it is smaller than the sum of its proper divisors (7650).

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

3240 is a wasteful number, since it uses less digits than its factorization.

3240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23 (or 10 counting only the distinct ones).

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

The square root of 3240 is about 56.9209978830. The cubic root of 3240 is about 14.7972724460.

The spelling of 3240 in words is "three thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240