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348344386346 = 211223201131121
BaseRepresentation
bin1010001000110101111…
…00011000001100101010
31020022010201102022101202
411010122330120030222
521201402130330341
6424005513044202
734111204300205
oct5043274301452
91208121368352
10348344386346
11124806363300
12576179b6662
1326b05893288
1412c07a2293c
1590dba1b79b
hex511af1832a

348344386346 has 48 divisors (see below), whose sum is σ = 599624835264. Its totient is φ = 151373904000.

The previous prime is 348344386261. The next prime is 348344386367. The reversal of 348344386346 is 643683443843.

It is a super-2 number, since 2×3483443863462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348344386291 and 348344386300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11177666 + ... + 11208786.

It is an arithmetic number, because the mean of its divisors is an integer number (12492184068).

Almost surely, 2348344386346 is an apocalyptic number.

348344386346 is a deficient number, since it is larger than the sum of its proper divisors (251280448918).

348344386346 is a wasteful number, since it uses less digits than its factorization.

348344386346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33179 (or 33168 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 56.

The spelling of 348344386346 in words is "three hundred forty-eight billion, three hundred forty-four million, three hundred eighty-six thousand, three hundred forty-six".

Divisors: 1 2 11 22 23 46 121 242 253 506 2011 2783 4022 5566 22121 31121 44242 46253 62242 92506 243331 342331 486662 508783 684662 715783 1017566 1431566 3765641 5596613 7531282 7873613 11193226 15747226 62584331 86609743 125168662 173219486 688427641 1376855282 1439439613 2878879226 7572704051 15145408102 15833835743 31667671486 174172193173 348344386346