| Base | Representation |
|---|---|
| bin | 1100011101010111… |
| … | …0111111010000000 |
| 3 | 22122002002010022200 |
| 4 | 3013111313322000 |
| 5 | 23322131300000 |
| 6 | 1311510033200 |
| 7 | 145606634214 |
| oct | 30725677200 |
| 9 | 8562063280 |
| 10 | 3344400000 |
| 11 | 1466910247 |
| 12 | 794048800 |
| 13 | 413b59816 |
| 14 | 23a256944 |
| 15 | 148923500 |
| hex | c7577e80 |
3344400000 has 288 divisors, whose sum is σ = 12042002700. Its totient is φ = 890880000.
The previous prime is 3344399999. The next prime is 3344400019. The reversal of 3344400000 is 44433.
It can be written as a sum of positive squares in 6 ways, for example, as 1315077696 + 2029322304 = 36264^2 + 45048^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×33444000002 = 22370022720000000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 10.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3599536 + ... + 3600464.
Almost surely, 23344400000 is an apocalyptic number.
3344400000 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 3344400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021001350).
3344400000 is an abundant number, since it is smaller than the sum of its proper divisors (8697602700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3344400000 is an frugal number, since it uses more digits than its factorization.
3344400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 974 (or 939 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 3344400000 is about 57830.7876481032. The cubic root of 3344400000 is about 1495.4528964949.
Adding to 3344400000 its reverse (44433), we get a palindrome (3344444433).
The spelling of 3344400000 in words is "three billion, three hundred forty-four million, four hundred thousand".
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