Base | Representation |
---|---|
bin | 101000000011111… |
… | …0111111110000000 |
3 | 10110200102112201120 |
4 | 1100013313332000 |
5 | 10223111212121 |
6 | 341215432240 |
7 | 45211602351 |
oct | 12007677600 |
9 | 3420375646 |
10 | 1344241536 |
11 | 62a875620 |
12 | 316225680 |
13 | 1856582c1 |
14 | ca759d28 |
15 | 7d02dbc6 |
hex | 501f7f80 |
1344241536 has 128 divisors (see below), whose sum is σ = 3921989760. Its totient is φ = 404551680.
The previous prime is 1344241529. The next prime is 1344241573. The reversal of 1344241536 is 6351424431.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 1344241497 and 1344241506.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662155 + ... + 664181.
It is an arithmetic number, because the mean of its divisors is an integer number (30640545).
Almost surely, 21344241536 is an apocalyptic number.
1344241536 is a gapful number since it is divisible by the number (16) 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 1344241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960994880).
1344241536 is an abundant number, since it is smaller than the sum of its proper divisors (2577748224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1344241536 is a wasteful number, since it uses less digits than its factorization.
1344241536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2212 (or 2200 counting only the distinct ones).
The product of its digits is 34560, while the sum is 33.
The square root of 1344241536 is about 36663.8996289265. The cubic root of 1344241536 is about 1103.6357756710.
Adding to 1344241536 its reverse (6351424431), we get a palindrome (7695665967).
The spelling of 1344241536 in words is "one billion, three hundred forty-four million, two hundred forty-one thousand, five hundred thirty-six".
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