Base | Representation |
---|---|
bin | 101000000011111… |
… | …1100100101100000 |
3 | 10110200110111200000 |
4 | 1100013330211200 |
5 | 10223112313243 |
6 | 341220100000 |
7 | 45212011446 |
oct | 12007744540 |
9 | 3420414600 |
10 | 1344260448 |
11 | 62a888853 |
12 | 316234600 |
13 | 185663aab |
14 | ca762b96 |
15 | 7d0345d3 |
hex | 501fc960 |
1344260448 has 144 divisors (see below), whose sum is σ = 4197931920. Its totient is φ = 421687296.
The previous prime is 1344260441. The next prime is 1344260459. The reversal of 1344260448 is 8440624431.
1344260448 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 2 + 604 + 48 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1344260441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127108 + ... + 137276.
It is an arithmetic number, because the mean of its divisors is an integer number (29152305).
Almost surely, 21344260448 is an apocalyptic number.
1344260448 is a gapful number since it is divisible by the number (18) 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 1344260448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098965960).
1344260448 is an abundant number, since it is smaller than the sum of its proper divisors (2853671472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1344260448 is a wasteful number, since it uses less digits than its factorization.
1344260448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10211 (or 10191 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 36.
The square root of 1344260448 is about 36664.1575383916. The cubic root of 1344260448 is about 1103.6409512939.
Adding to 1344260448 its reverse (8440624431), we get a palindrome (9784884879).
The spelling of 1344260448 in words is "one billion, three hundred forty-four million, two hundred sixty thousand, four hundred forty-eight".
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