Search a number
-
+
348156 = 223219509
BaseRepresentation
bin1010100111111111100
3122200120200
41110333330
542120111
611243500
72650014
oct1247774
9580520
10348156
11218636
12149590
13c2613
1490c44
156d256
hex54ffc

348156 has 36 divisors (see below), whose sum is σ = 928200. Its totient is φ = 109728.

The previous prime is 348149. The next prime is 348163. The reversal of 348156 is 651843.

It is an interprime number because it is at equal distance from previous prime (348149) and next prime (348163).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348156.

It is an unprimeable number.

348156 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430 + ... + 938.

348156 is a Friedman number, since it can be written as 85*(3+1)^6-4, using all its digits and the basic arithmetic operations.

2348156 is an apocalyptic number.

348156 is a gapful number since it is divisible by the number (36) 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 348156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464100).

348156 is an abundant number, since it is smaller than the sum of its proper divisors (580044).

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

348156 is a wasteful number, since it uses less digits than its factorization.

348156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 348156 is about 590.0474557186. The cubic root of 348156 is about 70.3490053399.

Adding to 348156 its reverse (651843), we get a palindrome (999999).

The spelling of 348156 in words is "three hundred forty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 509 684 1018 1527 2036 3054 4581 6108 9162 9671 18324 19342 29013 38684 58026 87039 116052 174078 348156