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348835083260 = 2251767125912163
BaseRepresentation
bin1010001001110000011…
…00001111001111111100
31020100101220202022000112
411010320030033033330
521203403240131020
6424130322245152
734126313166356
oct5047014171774
91210356668015
10348835083260
11124a38346144
12577341b67b8
1326b8343ba91
1412c52c760d6
159119b482c5
hex513830f3fc

348835083260 has 96 divisors (see below), whose sum is σ = 787911909120. Its totient is φ = 129252676608.

The previous prime is 348835083241. The next prime is 348835083323. The reversal of 348835083260 is 62380538843.

It is a super-2 number, since 2×3488350832602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348835083199 and 348835083208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28673939 + ... + 28686101.

It is an arithmetic number, because the mean of its divisors is an integer number (8207415720).

Almost surely, 2348835083260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348835083260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393955954560).

348835083260 is an abundant number, since it is smaller than the sum of its proper divisors (439076825860).

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

348835083260 is a wasteful number, since it uses less digits than its factorization.

348835083260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13515 (or 13513 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 348835083260 in words is "three hundred forty-eight billion, eight hundred thirty-five million, eighty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1259 1340 2278 2518 4556 5036 5695 6295 11390 12163 12590 21403 22780 24326 25180 42806 48652 60815 84353 85612 107015 121630 168706 206771 214030 243260 337412 413542 421765 428060 814921 827084 843530 1033855 1434001 1629842 1687060 2067710 2868002 3259684 4074605 4135420 5736004 7170005 8149210 13853657 14340010 15313217 16298420 27707314 28680020 30626434 55414628 61252868 69268285 76566085 138536570 153132170 260324689 277073140 306264340 520649378 1025985539 1041298756 1301623445 2051971078 2603246890 4103942156 5129927695 5206493780 10259855390 17441754163 20519710780 34883508326 69767016652 87208770815 174417541630 348835083260