| Base | Representation |
|---|---|
| bin | 11111111101110000… |
| … | …000010101011101000 |
| 3 | 10021120221220021122000 |
| 4 | 133331300002223220 |
| 5 | 1030242413004431 |
| 6 | 23433423331000 |
| 7 | 2323350122511 |
| oct | 377560025350 |
| 9 | 107527807560 |
| 10 | 34322000616 |
| 11 | 13612969072 |
| 12 | 679a450a60 |
| 13 | 330c918507 |
| 14 | 193845ba08 |
| 15 | d5d2a69e6 |
| hex | 7fdc02ae8 |
34322000616 has 256 divisors, whose sum is σ = 99740160000. Its totient is φ = 10928825856.
The previous prime is 34322000611. The next prime is 34322000617. The reversal of 34322000616 is 61600022343.
34322000616 is a `hidden beast` number, since 3 + 43 + 2 + 2 + 0 + 0 + 0 + 616 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 34322000616.
It is not an unprimeable number, because it can be changed into a prime (34322000611) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 73494415 + ... + 73494881.
It is an arithmetic number, because the mean of its divisors is an integer number (389610000).
Almost surely, 234322000616 is an apocalyptic number.
34322000616 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 34322000616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49870080000).
34322000616 is an abundant number, since it is smaller than the sum of its proper divisors (65418159384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34322000616 is a wasteful number, since it uses less digits than its factorization.
34322000616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 693 (or 683 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 34322000616 its reverse (61600022343), we get a palindrome (95922022959).
The spelling of 34322000616 in words is "thirty-four billion, three hundred twenty-two million, six hundred sixteen", and thus it is an aban number.
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