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348012 = 223271381
BaseRepresentation
bin1010100111101101100
3122200101100
41110331230
542114022
611243100
72646420
oct1247554
9580340
10348012
11218515
12149490
13c2532
1490b80
156d1ac
hex54f6c

348012 has 36 divisors (see below), whose sum is σ = 1006096. Its totient is φ = 99360.

The previous prime is 348011. The next prime is 348017. The reversal of 348012 is 210843.

It is a happy number.

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

It is a super-2 number, since 2×3480122 = 242224704288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348012.

It is not an unprimeable number, because it can be changed into a prime (348011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 942.

2348012 is an apocalyptic number.

It is an amenable number.

348012 is an abundant number, since it is smaller than the sum of its proper divisors (658084).

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

348012 is a wasteful number, since it uses less digits than its factorization.

348012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 348012 is about 589.9254190150. The cubic root of 348012 is about 70.3393050392.

Adding to 348012 its reverse (210843), we get a palindrome (558855).

The spelling of 348012 in words is "three hundred forty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1381 2762 4143 5524 8286 9667 12429 16572 19334 24858 29001 38668 49716 58002 87003 116004 174006 348012