Base | Representation |
---|---|
bin | 111011110011101… |
… | …011000010000000 |
3 | 2120221002001212202 |
4 | 323303223002000 |
5 | 4023332320334 |
6 | 243322212332 |
7 | 33602525231 |
oct | 7363530200 |
9 | 2527061782 |
10 | 1003401344 |
11 | 475437310 |
12 | 2400540a8 |
13 | 12cb5b40a |
14 | 97395088 |
15 | 5d15417e |
hex | 3bceb080 |
1003401344 has 64 divisors (see below), whose sum is σ = 2188291680. Its totient is φ = 454502400.
The previous prime is 1003401341. The next prime is 1003401361. The reversal of 1003401344 is 4431043001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (1003401341) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464972 + ... + 467124.
Almost surely, 21003401344 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 1003401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094145840).
1003401344 is an abundant number, since it is smaller than the sum of its proper divisors (1184890336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003401344 is a wasteful number, since it uses less digits than its factorization.
1003401344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2509 (or 2497 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 1003401344 is about 31676.5109189759. The cubic root of 1003401344 is about 1001.1324982968.
Adding to 1003401344 its reverse (4431043001), we get a palindrome (5434444345).
The spelling of 1003401344 in words is "one billion, three million, four hundred one thousand, three hundred forty-four".
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