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3432 = 2331113
BaseRepresentation
bin110101101000
311201010
4311220
5102212
623520
713002
oct6550
94633
103432
112640
121ba0
131740
141372
15103c
hexd68

3432 has 32 divisors (see below), whose sum is σ = 10080. Its totient is φ = 960.

The previous prime is 3413. The next prime is 3433. The reversal of 3432 is 2343.

Adding to 3432 its reverse (2343), we get a palindrome (5775).

Subtracting from 3432 its reverse (2343), we obtain a square (1089 = 332).

It can be divided in two parts, 343 and 2, that multiplied together give a palindrome (686).

3432 = T23 + T24 + ... + T31.

3432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3432 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

3432 is a nontrivial binomial coefficient, being equal to C(14, 7).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 36 + 37 + 4 + 29 .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3433) by changing a digit.

3432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (315).

23432 is an apocalyptic number.

3432 is the 48-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040).

3432 is an abundant number, since it is smaller than the sum of its proper divisors (6648).

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

3432 is a wasteful number, since it uses less digits than its factorization.

3432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 29 counting only the distinct ones).

The product of its digits is 72, while the sum is 12.

The square root of 3432 is about 58.5832740635. The cubic root of 3432 is about 15.0839734643.

The spelling of 3432 in words is "three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432