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348372 = 22329677
BaseRepresentation
bin1010101000011010100
3122200212200
41111003110
542121442
611244500
72650443
oct1250324
9580780
10348372
11218812
12149730
13c274b
1490d5a
156d34c
hex550d4

348372 has 18 divisors (see below), whose sum is σ = 880698. Its totient is φ = 116112.

The previous prime is 348367. The next prime is 348389. The reversal of 348372 is 273843.

348372 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 30276 = 564^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

348372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4803 + ... + 4874.

2348372 is an apocalyptic number.

It is an amenable number.

348372 is an abundant number, since it is smaller than the sum of its proper divisors (532326).

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

348372 is a wasteful number, since it uses less digits than its factorization.

348372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9687 (or 9682 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 348372 is about 590.2304634632. The cubic root of 348372 is about 70.3635507772.

Subtracting from 348372 its reverse (273843), we obtain a square (74529 = 2732).

The spelling of 348372 in words is "three hundred forty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 9677 19354 29031 38708 58062 87093 116124 174186 348372