Search a number
-
+
348101312 = 2613418391
BaseRepresentation
bin10100101111111…
…001101011000000
3220021000101020012
4110233321223000
51203103220222
654313004052
711424545426
oct2457715300
9807011205
10348101312
11169548739
12986b3628
135716cc10
1434335116
15208611e2
hex14bf9ac0

348101312 has 28 divisors (see below), whose sum is σ = 743900976. Its totient is φ = 160661760.

The previous prime is 348101311. The next prime is 348101321. The reversal of 348101312 is 213101843.

It is a super-2 number, since 2×3481013122 = 242349046832242688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348101311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208364 + ... + 210027.

It is an arithmetic number, because the mean of its divisors is an integer number (26567892).

Almost surely, 2348101312 is an apocalyptic number.

348101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

348101312 is an abundant number, since it is smaller than the sum of its proper divisors (395799664).

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

348101312 is a wasteful number, since it uses less digits than its factorization.

348101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418416 (or 418406 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 348101312 is about 18657.4733552001. The cubic root of 348101312 is about 703.4532169632.

The spelling of 348101312 in words is "three hundred forty-eight million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 418391 836782 1673564 3347128 5439083 6694256 10878166 13388512 21756332 26777024 43512664 87025328 174050656 348101312