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348364785660 = 22355806079761
BaseRepresentation
bin1010001000111000010…
…10001100011111111100
31020022012010210200222220
411010130022030133330
521201422341120120
6424011522205340
734111542551343
oct5043412143774
91208163720886
10348364785660
11124816926641
12576227b3850
1326b09b86388
1412c0a612b5a
1590dd6eab40
hex511c28c7fc

348364785660 has 24 divisors (see below), whose sum is σ = 975421400016. Its totient is φ = 92897276160.

The previous prime is 348364785647. The next prime is 348364785679. The reversal of 348364785660 is 66587463843.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 5806079761 = 348364785660 / (3 + 4 + 8 + 3 + 6 + 4 + 7 + 8 + 5 + 6 + 6 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 348364785594 and 348364785603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2903039821 + ... + 2903039940.

It is an arithmetic number, because the mean of its divisors is an integer number (40642558334).

Almost surely, 2348364785660 is an apocalyptic number.

348364785660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348364785660 is an abundant number, since it is smaller than the sum of its proper divisors (627056614356).

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

348364785660 is a wasteful number, since it uses less digits than its factorization.

348364785660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806079773 (or 5806079771 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 348364785660 in words is "three hundred forty-eight billion, three hundred sixty-four million, seven hundred eighty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5806079761 11612159522 17418239283 23224319044 29030398805 34836478566 58060797610 69672957132 87091196415 116121595220 174182392830 348364785660