| Base | Representation |
|---|---|
| bin | 101010111010101… |
| … | …0010110011010000 |
| 3 | 10201100200022021121 |
| 4 | 1111311102303100 |
| 5 | 10422122042000 |
| 6 | 354520532024 |
| 7 | 50454041566 |
| oct | 12565226320 |
| 9 | 3640608247 |
| 10 | 1440034000 |
| 11 | 679952949 |
| 12 | 342321014 |
| 13 | 19c457932 |
| 14 | d9373a36 |
| 15 | 86651b1a |
| hex | 55d52cd0 |
1440034000 has 80 divisors (see below), whose sum is σ = 3490218576. Its totient is φ = 574656000.
The previous prime is 1440033983. The next prime is 1440034003. The reversal of 1440034000 is 4300441.
It can be written as a sum of positive squares in 8 ways, for example, as 373880896 + 1066153104 = 19336^2 + 32652^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1440034003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1641562 + ... + 1642438.
Almost surely, 21440034000 is an apocalyptic number.
1440034000 is a gapful number since it is divisible by the number (10) 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 1440034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745109288).
1440034000 is an abundant number, since it is smaller than the sum of its proper divisors (2050184576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1440034000 is an equidigital number, since it uses as much as digits as its factorization.
1440034000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1721 (or 1705 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 1440034000 is about 37947.7799087114. The cubic root of 1440034000 is about 1129.2521221498.
Adding to 1440034000 its reverse (4300441), we get a palindrome (1444334441).
It can be divided in two parts, 14400 and 34000, that added together give a square (48400 = 2202).
The spelling of 1440034000 in words is "one billion, four hundred forty million, thirty-four thousand".
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