Search a number
-
+
348216 = 233111319
BaseRepresentation
bin1010101000000111000
3122200122220
41111000320
542120331
611244040
72650131
oct1250070
9580586
10348216
11218690
12149620
13c265b
1490c88
156d296
hex55038

348216 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 105440.

The previous prime is 348209. The next prime is 348217. The reversal of 348216 is 612843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348217) by changing a digit.

348216 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2348216 is an apocalyptic number.

It is an amenable number.

348216 is an abundant number, since it is smaller than the sum of its proper divisors (602184).

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

348216 is a wasteful number, since it uses less digits than its factorization.

348216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 348216 is about 590.0982968964. The cubic root of 348216 is about 70.3530463425.

The spelling of 348216 in words is "three hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1319 2638 3957 5276 7914 10552 14509 15828 29018 31656 43527 58036 87054 116072 174108 348216