| Base | Representation |
|---|---|
| bin | 100000100010000001… |
| … | …101111110000000000 |
| 3 | 10100011101010102110000 |
| 4 | 200202001233300000 |
| 5 | 1033014214341230 |
| 6 | 24014044240000 |
| 7 | 2344420245321 |
| oct | 404201576000 |
| 9 | 110141112400 |
| 10 | 34930621440 |
| 11 | 138a5474990 |
| 12 | 692a240000 |
| 13 | 33a8a41c90 |
| 14 | 199520a448 |
| 15 | d96928b60 |
| hex | 82206fc00 |
34930621440 has 1760 divisors, whose sum is σ = 159787837440. Its totient is φ = 7166361600.
The previous prime is 34930621367. The next prime is 34930621447. The reversal of 34930621440 is 4412603943.
It is a happy number.
34930621440 is a `hidden beast` number, since 349 + 306 + 2 + 1 + 4 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1760).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 34930621395 and 34930621404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34930621447) 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 159 ways as a sum of consecutive naturals, for example, 1126794225 + ... + 1126794255.
It is an arithmetic number, because the mean of its divisors is an integer number (90788544).
Almost surely, 234930621440 is an apocalyptic number.
34930621440 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 34930621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79893918720).
34930621440 is an abundant number, since it is smaller than the sum of its proper divisors (124857216000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34930621440 is a wasteful number, since it uses less digits than its factorization.
34930621440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 111 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The spelling of 34930621440 in words is "thirty-four billion, nine hundred thirty million, six hundred twenty-one thousand, four hundred forty".
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