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348 = 22329
BaseRepresentation
bin101011100
3110220
411130
52343
61340
71005
oct534
9426
10348
11297
12250
1320a
141ac
15183
hex15c

348 has 12 divisors (see below), whose sum is σ = 840. Its totient is φ = 112.

The previous prime is 347. The next prime is 349. The reversal of 348 is 843.

Adding to 348 its sum of digits (15), we get a palindrome (363).

Subtracting from 348 its sum of digits (15), we obtain a palindrome (333).

Adding to 348 its product of digits (96), we get a palindrome (444).

Subtracting from 348 its product of digits (96), we obtain a palindrome (252).

It can be divided in two parts, 34 and 8, that multiplied together give a palindrome (272).

348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

348 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (347) and next prime (349).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×3482 = 242208, which contains 22 as substring.

It is a plaindrome in base 10, base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347) by changing a digit.

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, 3 + ... + 26.

It is an arithmetic number, because the mean of its divisors is an integer number (70).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420).

348 is an abundant number, since it is smaller than the sum of its proper divisors (492).

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

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

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

The sum of its prime factors is 36 (or 34 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 348 is about 18.6547581062. The cubic root of 348 is about 7.0338496560.

The spelling of 348 in words is "three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348