| Base | Representation |
|---|---|
| bin | 1100000100011110… |
| … | …0111101000000000 |
| 3 | 22100210122001110000 |
| 4 | 3001013213220000 |
| 5 | 23113420000000 |
| 6 | 1253300240000 |
| 7 | 143201355066 |
| oct | 30107475000 |
| 9 | 8323561400 |
| 10 | 3240000000 |
| 11 | 1412993a56 |
| 12 | 7650a0000 |
| 13 | 3c8335383 |
| 14 | 22a43c036 |
| 15 | 13e6a0000 |
| hex | c11e7a00 |
3240000000 has 400 divisors, whose sum is σ = 12088152648. Its totient is φ = 864000000.
The previous prime is 3239999981. The next prime is 3240000011. The reversal of 3240000000 is 423.
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 can be written as a sum of positive squares in 4 ways, for example, as 1954347264 + 1285652736 = 44208^2 + 35856^2 .
It is a tau number, because it is divible by the number of its divisors (400).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647999998 + ... + 648000002.
Almost surely, 23240000000 is an apocalyptic number.
3240000000 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 3240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044076324).
3240000000 is an abundant number, since it is smaller than the sum of its proper divisors (8848152648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3240000000 is an frugal number, since it uses more digits than its factorization.
3240000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 65 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 9.
The square root of 3240000000 is about 56920.9978830308. The cubic root of 3240000000 is about 1479.7272445983.
Adding to 3240000000 its reverse (423), we get a palindrome (3240000423).
It can be divided in two parts, 32 and 40000000, that multiplied together give a 7-th power (1280000000 = 207).
The spelling of 3240000000 in words is "three billion, two hundred forty million", and thus it is an aban number.
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