Base | Representation |
---|---|
bin | 10011101110101… |
… | …010111000000000 |
3 | 212001211121111001 |
4 | 103232222320000 |
5 | 1134214020334 |
6 | 52502301344 |
7 | 11126315332 |
oct | 2356527000 |
9 | 761747431 |
10 | 331001344 |
11 | 15a929233 |
12 | 92a27854 |
13 | 537637ab |
14 | 31d63452 |
15 | 1e0d4714 |
hex | 13baae00 |
331001344 has 40 divisors (see below), whose sum is σ = 669410280. Its totient is φ = 163485696.
The previous prime is 331001327. The next prime is 331001347. The reversal of 331001344 is 443100133.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (331001347) 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 3 ways as a sum of consecutive naturals, for example, 38602 + ... + 46390.
It is an arithmetic number, because the mean of its divisors is an integer number (16735257).
Almost surely, 2331001344 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 331001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334705140).
331001344 is an abundant number, since it is smaller than the sum of its proper divisors (338408936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331001344 is an frugal number, since it uses more digits than its factorization.
331001344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7890 (or 7874 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 19.
The square root of 331001344 is about 18193.4423350833. The cubic root of 331001344 is about 691.7405779115.
Adding to 331001344 its reverse (443100133), we get a palindrome (774101477).
The spelling of 331001344 in words is "three hundred thirty-one million, one thousand, three hundred forty-four".
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