Base | Representation |
---|---|
bin | 10100010001001… |
… | …010100101110000 |
3 | 212200212000212120 |
4 | 110101022211300 |
5 | 1144022403034 |
6 | 53424154240 |
7 | 11266220226 |
oct | 2421124560 |
9 | 780760776 |
10 | 340044144 |
11 | 164a45220 |
12 | 95a68980 |
13 | 555ab76b |
14 | 33238b16 |
15 | 1ecbdc49 |
hex | 1444a970 |
340044144 has 80 divisors (see below), whose sum is σ = 1000007424. Its totient is φ = 98560000.
The previous prime is 340044127. The next prime is 340044163. The reversal of 340044144 is 441440043.
It is a super-3 number, since 3×3400441443 (a number of 27 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857 + ... + 26144.
Almost surely, 2340044144 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 340044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500003712).
340044144 is an abundant number, since it is smaller than the sum of its proper divisors (659963280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
340044144 is a wasteful number, since it uses less digits than its factorization.
340044144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28046 (or 28040 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 340044144 is about 18440.2858980006. The cubic root of 340044144 is about 697.9834097036.
Adding to 340044144 its reverse (441440043), we get a palindrome (781484187).
The spelling of 340044144 in words is "three hundred forty million, forty-four thousand, one hundred forty-four".
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