| Base | Representation |
|---|---|
| bin | 11111101111010000… |
| … | …010000010000000000 |
| 3 | 10020222000020201200000 |
| 4 | 133233100100100000 |
| 5 | 1024243132132220 |
| 6 | 23353334400000 |
| 7 | 2314334622600 |
| oct | 375720202000 |
| 9 | 106860221600 |
| 10 | 34078786560 |
| 11 | 134a864a815 |
| 12 | 6730b00000 |
| 13 | 32a1410780 |
| 14 | 191402ac00 |
| 15 | d46c63390 |
| hex | 7ef410400 |
34078786560 has 1584 divisors, whose sum is σ = 156973392576. Its totient is φ = 7023034368.
The previous prime is 34078786537. The next prime is 34078786561. The reversal of 34078786560 is 6568787043.
34078786560 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 8 + 78 + 6 + 560 = 666.
It is a super-2 number, since 2×340787865602 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 34078786497 and 34078786506.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34078786561) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 792529899 + ... + 792529941.
It is an arithmetic number, because the mean of its divisors is an integer number (99099364).
Almost surely, 234078786560 is an apocalyptic number.
34078786560 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 34078786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78486696288).
34078786560 is an abundant number, since it is smaller than the sum of its proper divisors (122894606016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34078786560 is a wasteful number, since it uses less digits than its factorization.
34078786560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 110 (or 73 counting only the distinct ones).
The product of its (nonzero) digits is 6773760, while the sum is 54.
The spelling of 34078786560 in words is "thirty-four billion, seventy-eight million, seven hundred eighty-six thousand, five hundred sixty".
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