| Base | Representation |
|---|---|
| bin | 1100011110100000… |
| … | …1100000001000000 |
| 3 | 22122102010001000000 |
| 4 | 3013220030001000 |
| 5 | 23324343412320 |
| 6 | 1312201000000 |
| 7 | 145665511200 |
| oct | 30750140100 |
| 9 | 8572101000 |
| 10 | 3349200960 |
| 11 | 146959a286 |
| 12 | 795783000 |
| 13 | 414b4ab21 |
| 14 | 23ab46400 |
| 15 | 149070c90 |
| hex | c7a0c040 |
3349200960 has 588 divisors, whose sum is σ = 13957168428. Its totient is φ = 762918912.
The previous prime is 3349200941. The next prime is 3349200961. The reversal of 3349200960 is 690029433.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 2341011456 + 1008189504 = 48384^2 + 31752^2 .
It is a tau number, because it is divible by the number of its divisors (588).
It is a super-2 number, since 2×33492009602 = 22434294140929843200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (3349200961) by changing a digit.
It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11430574 + ... + 11430866.
It is an arithmetic number, because the mean of its divisors is an integer number (23736681).
Almost surely, 23349200960 is an apocalyptic number.
3349200960 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 3349200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978584214).
3349200960 is an abundant number, since it is smaller than the sum of its proper divisors (10607967468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3349200960 is an equidigital number, since it uses as much as digits as its factorization.
3349200960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 342 (or 310 counting only the distinct ones).
The product of its (nonzero) digits is 34992, while the sum is 36.
The square root of 3349200960 is about 57872.2814480300. The cubic root of 3349200960 is about 1496.1681395658.
The spelling of 3349200960 in words is "three billion, three hundred forty-nine million, two hundred thousand, nine hundred sixty".
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