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3472 = 24731
BaseRepresentation
bin110110010000
311202121
4312100
5102342
624024
713060
oct6620
94677
103472
112677
122014
131771
1413a0
151067
hexd90

3472 has 20 divisors (see below), whose sum is σ = 7936. Its totient is φ = 1440.

The previous prime is 3469. The next prime is 3491. The reversal of 3472 is 2743.

Subtracting from 3472 its reverse (2743), we obtain a 6-th power (729 = 36).

3472 is nontrivially palindromic in base 13.

3472 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a plaindrome in base 9 and base 11.

It is a nialpdrome in base 8 and base 16.

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 3 ways as a sum of consecutive naturals, for example, 97 + ... + 127.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968).

3472 is an abundant number, since it is smaller than the sum of its proper divisors (4464).

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

3472 is a wasteful number, since it uses less digits than its factorization.

3472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 40 counting only the distinct ones).

The product of its digits is 168, while the sum is 16.

The square root of 3472 is about 58.9236794506. The cubic root of 3472 is about 15.1423485564.

The spelling of 3472 in words is "three thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472