| Base | Representation |
|---|---|
| bin | 1100000010000101… |
| … | …1101011100011000 |
| 3 | 22100002210211200000 |
| 4 | 3000201131130120 |
| 5 | 23103334344244 |
| 6 | 1252302013000 |
| 7 | 143020343235 |
| oct | 30041353430 |
| 9 | 8302724600 |
| 10 | 3229996824 |
| 11 | 140828146a |
| 12 | 761877160 |
| 13 | 3c6242232 |
| 14 | 228d9678c |
| 15 | 13d876169 |
| hex | c085d718 |
3229996824 has 72 divisors (see below), whose sum is σ = 9078948060. Its totient is φ = 1075830336.
The previous prime is 3229996799. The next prime is 3229996843. The reversal of 3229996824 is 4286999223.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (72).
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 a congruent number.
It is an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 2505172 + ... + 2506460.
Almost surely, 23229996824 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3229996824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539474030).
3229996824 is an abundant number, since it is smaller than the sum of its proper divisors (5848951236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3229996824 is an frugal number, since it uses more digits than its factorization.
3229996824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2599 (or 1294 counting only the distinct ones).
The product of its digits is 3359232, while the sum is 54.
The square root of 3229996824 is about 56833.0610120553. The cubic root of 3229996824 is about 1478.2028380710.
Multiplying 3229996824 by its sum of digits (54), we get a square (174419828496 = 4176362).
3229996824 divided by its sum of digits (54) gives a square (59814756 = 77342).
The spelling of 3229996824 in words is "three billion, two hundred twenty-nine million, nine hundred ninety-six thousand, eight hundred twenty-four".
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