| Base | Representation |
|---|---|
| bin | 100000100011000101… |
| … | …100000011010100000 |
| 3 | 10100012121112212200000 |
| 4 | 200203011200122200 |
| 5 | 1033033241300131 |
| 6 | 24015521100000 |
| 7 | 2345024236401 |
| oct | 404305403240 |
| 9 | 110177485600 |
| 10 | 34948384416 |
| 11 | 139044a7530 |
| 12 | 6934187600 |
| 13 | 33ac62110a |
| 14 | 19977119a8 |
| 15 | d98286ce6 |
| hex | 8231606a0 |
34948384416 has 576 divisors, whose sum is σ = 118516245120. Its totient is φ = 10032906240.
The previous prime is 34948384391. The next prime is 34948384417. The reversal of 34948384416 is 61448384943.
34948384416 is a `hidden beast` number, since 3 + 49 + 483 + 84 + 41 + 6 = 666.
It is a super-3 number, since 3×349483844163 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (34948384417) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181079616 + ... + 181079808.
It is an arithmetic number, because the mean of its divisors is an integer number (205757370).
Almost surely, 234948384416 is an apocalyptic number.
34948384416 is a gapful number since it is divisible by the number (36) 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 34948384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59258122560).
34948384416 is an abundant number, since it is smaller than the sum of its proper divisors (83567860704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34948384416 is a wasteful number, since it uses less digits than its factorization.
34948384416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 331 (or 311 counting only the distinct ones).
The product of its digits is 7962624, while the sum is 54.
The spelling of 34948384416 in words is "thirty-four billion, nine hundred forty-eight million, three hundred eighty-four thousand, four hundred sixteen".
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