Search a number
-
+
32412 = 2233773
BaseRepresentation
bin111111010011100
31122110110
413322130
52014122
6410020
7163332
oct77234
948413
1032412
1122396
1216910
13119a3
14bb52
15990c
hex7e9c

32412 has 24 divisors (see below), whose sum is σ = 78736. Its totient is φ = 10368.

The previous prime is 32411. The next prime is 32413. The reversal of 32412 is 21423.

It is an interprime number because it is at equal distance from previous prime (32411) and next prime (32413).

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 nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 480.

232412 is an apocalyptic number.

It is an amenable number.

32412 is an abundant number, since it is smaller than the sum of its proper divisors (46324).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39368).

32412 is a wasteful number, since it uses less digits than its factorization.

32412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 32412 is about 180.0333302475. The cubic root of 32412 is about 31.8836923622.

Subtracting from 32412 its sum of digits (12), we obtain a square (32400 = 1802).

32412 divided by its sum of digits (12) gives a triangular number (2701 = T73).

Adding to 32412 its reverse (21423), we get a palindrome (53835).

It can be divided in two parts, 32 and 412, that added together give a palindrome (444).

The spelling of 32412 in words is "thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 37 73 74 111 146 148 219 222 292 438 444 876 2701 5402 8103 10804 16206 32412