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348046380747 = 321313726382561
BaseRepresentation
bin1010001000010010010…
…11100100111011001011
31020021100221200001120100
411010021023210323023
521200244333140442
6423520145500443
734100625265212
oct5041113447313
91207327601510
10348046380747
1112467312128a
1257554041723
1326a88c131c0
1412bba20c079
1590c07a384c
hex51092e4ecb

348046380747 has 48 divisors (see below), whose sum is σ = 547437578688. Its totient is φ = 211808010240.

The previous prime is 348046380713. The next prime is 348046380779. The reversal of 348046380747 is 747083640843.

348046380747 is a `hidden beast` number, since 3 + 480 + 46 + 3 + 80 + 7 + 47 = 666.

It is not a de Polignac number, because 348046380747 - 220 = 348045332171 is a prime.

It is a super-2 number, since 2×3480463807472 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 348046380693 and 348046380702.

It is not an unprimeable number, because it can be changed into a prime (348046380047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4174347 + ... + 4256907.

It is an arithmetic number, because the mean of its divisors is an integer number (11404949556).

Almost surely, 2348046380747 is an apocalyptic number.

348046380747 is a deficient number, since it is larger than the sum of its proper divisors (199391197941).

348046380747 is a wasteful number, since it uses less digits than its factorization.

348046380747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82980 (or 82977 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 348046380747 in words is "three hundred forty-eight billion, forty-six million, three hundred eighty thousand, seven hundred forty-seven".

Divisors: 1 3 9 13 39 117 137 263 411 789 1233 1781 2367 3419 5343 10257 16029 30771 36031 82561 108093 247683 324279 468403 743049 1073293 1405209 3219879 4215627 9659637 11310857 21713543 33932571 65140629 101797713 147041141 195421887 282276059 441123423 846828177 1323370269 2540484531 2974755391 8924266173 26772798519 38671820083 116015460249 348046380747