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4312 = 237211
BaseRepresentation
bin1000011011000
312220201
41003120
5114222
631544
715400
oct10330
95821
104312
113270
1225b4
131c69
141800
151427
hex10d8

4312 has 24 divisors (see below), whose sum is σ = 10260. Its totient is φ = 1680.

The previous prime is 4297. The next prime is 4327. The reversal of 4312 is 2134.

Adding to 4312 its reverse (2134), we get a palindrome (6446).

It can be divided in two parts, 43 and 12, that added together give a palindrome (55).

It is an interprime number because it is at equal distance from previous prime (4297) and next prime (4327).

It is a congruent number.

It is an unprimeable number.

4312 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 387 + ... + 397.

24312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130).

4312 is an abundant number, since it is smaller than the sum of its proper divisors (5948).

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

4312 is a wasteful number, since it uses less digits than its factorization.

4312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 20 counting only the distinct ones).

The product of its digits is 24, while the sum is 10.

The square root of 4312 is about 65.6658206375. The cubic root of 4312 is about 16.2764460888.

The spelling of 4312 in words is "four thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 4312