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348383713860 = 22325713195321121
BaseRepresentation
bin1010001000111010100…
…10011001101001000100
31020022020110102100121100
411010131102121221010
521201442212320420
6424013440020100
734112162464530
oct5043522315104
91208213370540
10348383713860
11124826584686
1257629001630
1326b10a829b0
1412c0cd3cbc0
1590e01d9190
hex511d499a44

348383713860 has 576 divisors, whose sum is σ = 1394984747520. Its totient is φ = 68319313920.

The previous prime is 348383713837. The next prime is 348383713861. The reversal of 348383713860 is 68317383843.

348383713860 is a `hidden beast` number, since 3 + 483 + 8 + 3 + 71 + 38 + 60 = 666.

It is a super-3 number, since 3×3483837138603 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348383713797 and 348383713806.

It is not an unprimeable number, because it can be changed into a prime (348383713861) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16484100 + ... + 16505220.

It is an arithmetic number, because the mean of its divisors is an integer number (2421848520).

Almost surely, 2348383713860 is an apocalyptic number.

348383713860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348383713860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697492373760).

348383713860 is an abundant number, since it is smaller than the sum of its proper divisors (1046601033660).

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

348383713860 is a wasteful number, since it uses less digits than its factorization.

348383713860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21228 (or 21223 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 348383713860 in words is "three hundred forty-eight billion, three hundred eighty-three million, seven hundred thirteen thousand, eight hundred sixty".