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212401344 = 2631106257
BaseRepresentation
bin11001010100011…
…11110011000000
3112210200002212110
430222033303000
5413333320334
633024255320
75156244621
oct1452176300
9483602773
10212401344
11a9993301
125b171540
1335009b8c
14202cda48
15139a8ae9
hexca8fcc0

212401344 has 28 divisors (see below), whose sum is σ = 561979064. Its totient is φ = 70800384.

The previous prime is 212401339. The next prime is 212401351. The reversal of 212401344 is 443104212.

212401344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124013442 = 90228661866012672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212401344.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 552937 + ... + 553320.

Almost surely, 2212401344 is an apocalyptic number.

212401344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212401344 is an abundant number, since it is smaller than the sum of its proper divisors (349577720).

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

212401344 is a wasteful number, since it uses less digits than its factorization.

212401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106272 (or 1106262 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 212401344 is about 14573.9954713867. The cubic root of 212401344 is about 596.6492332155.

Adding to 212401344 its reverse (443104212), we get a palindrome (655505556).

The spelling of 212401344 in words is "two hundred twelve million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1106257 2212514 3318771 4425028 6637542 8850056 13275084 17700112 26550168 35400224 53100336 70800448 106200672 212401344