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3392 = 2653
BaseRepresentation
bin110101000000
311122122
4311000
5102032
623412
712614
oct6500
94578
103392
112604
121b68
13170c
141344
151012
hexd40

3392 has 14 divisors (see below), whose sum is σ = 6858. Its totient is φ = 1664.

The previous prime is 3391. The next prime is 3407. The reversal of 3392 is 2933.

It is a happy number.

3392 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 256 = 56^2 + 16^2 .

It is a plaindrome in base 9 and base 14.

It is a nialpdrome in base 4, base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38 + ... + 90.

23392 is an apocalyptic number.

3392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429).

3392 is an abundant number, since it is smaller than the sum of its proper divisors (3466).

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

3392 is an equidigital number, since it uses as much as digits as its factorization.

3392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its digits is 162, while the sum is 17.

The square root of 3392 is about 58.2408791142. The cubic root of 3392 is about 15.0251430169.

Subtracting from 3392 its sum of digits (17), we obtain a cube (3375 = 153).

It can be divided in two parts, 33 and 92, that added together give a cube (125 = 53).

The spelling of 3392 in words is "three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392