| Base | Representation |
|---|---|
| bin | 1000001011111… |
| … | …0011100100000 |
| 3 | 2101121101002000 |
| 4 | 2002332130200 |
| 5 | 32242200441 |
| 6 | 3223524000 |
| 7 | 564560400 |
| oct | 202763440 |
| 9 | 71541060 |
| 10 | 34334496 |
| 11 | 18421019 |
| 12 | b5b9600 |
| 13 | 7161b91 |
| 14 | 47ba800 |
| 15 | 30332b6 |
| hex | 20be720 |
34334496 has 144 divisors (see below), whose sum is σ = 116635680. Its totient is φ = 9797760.
The previous prime is 34334479. The next prime is 34334497. The reversal of 34334496 is 69443343.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 34334496.
It is not an unprimeable number, because it can be changed into a prime (34334497) 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 23 ways as a sum of consecutive naturals, for example, 41931 + ... + 42741.
It is an arithmetic number, because the mean of its divisors is an integer number (809970).
Almost surely, 234334496 is an apocalyptic number.
34334496 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 34334496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58317840).
34334496 is an abundant number, since it is smaller than the sum of its proper divisors (82301184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34334496 is a wasteful number, since it uses less digits than its factorization.
34334496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 844 (or 823 counting only the distinct ones).
The product of its digits is 93312, while the sum is 36.
The square root of 34334496 is about 5859.5644889360. The cubic root of 34334496 is about 325.0201044762.
The spelling of 34334496 in words is "thirty-four million, three hundred thirty-four thousand, four hundred ninety-six".
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