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348485440 = 2651089017
BaseRepresentation
bin10100110001010…
…111011101000000
3220021201220011011
4110301113131000
51203203013230
654325130304
711431035352
oct2461273500
9807656134
10348485440
111697902a6
1298859994
1357275a04
14343d50d2
15208d9e2a
hex14c57740

348485440 has 28 divisors (see below), whose sum is σ = 829831716. Its totient is φ = 139394048.

The previous prime is 348485437. The next prime is 348485453. The reversal of 348485440 is 44584843.

It is a happy number.

348485440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 271326784 = 8784^2 + 16472^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 348485393 and 348485402.

It is a congruent number.

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, 544189 + ... + 544828.

It is an arithmetic number, because the mean of its divisors is an integer number (29636847).

Almost surely, 2348485440 is an apocalyptic number.

It is an amenable number.

348485440 is an abundant number, since it is smaller than the sum of its proper divisors (481346276).

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

348485440 is a wasteful number, since it uses less digits than its factorization.

348485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089034 (or 1089024 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The square root of 348485440 is about 18667.7647296081. The cubic root of 348485440 is about 703.7118741748.

The spelling of 348485440 in words is "three hundred forty-eight million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1089017 2178034 4356068 5445085 8712136 10890170 17424272 21780340 34848544 43560680 69697088 87121360 174242720 348485440