| Base | Representation |
|---|---|
| bin | 100111101101111… |
| … | …1010101110000000 |
| 3 | 10102212202010001010 |
| 4 | 1033123322232000 |
| 5 | 10212133442324 |
| 6 | 340124440520 |
| 7 | 45011630400 |
| oct | 11733725600 |
| 9 | 3385663033 |
| 10 | 1332718464 |
| 11 | 624315120 |
| 12 | 3123a9140 |
| 13 | 18315240c |
| 14 | c8dda800 |
| 15 | 7c004829 |
| hex | 4f6fab80 |
1332718464 has 384 divisors, whose sum is σ = 4621432320. Its totient is φ = 336322560.
The previous prime is 1332718397. The next prime is 1332718469. The reversal of 1332718464 is 4648172331.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-4 number, since 4×13327184644 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1332718469) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9727804 + ... + 9727940.
It is an arithmetic number, because the mean of its divisors is an integer number (12034980).
Almost surely, 21332718464 is an apocalyptic number.
1332718464 is a gapful number since it is divisible by the number (14) 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 1332718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310716160).
1332718464 is an abundant number, since it is smaller than the sum of its proper divisors (3288713856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1332718464 is a wasteful number, since it uses less digits than its factorization.
1332718464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 226 (or 207 counting only the distinct ones).
The product of its digits is 96768, while the sum is 39.
The square root of 1332718464 is about 36506.4167510316. The cubic root of 1332718464 is about 1100.4732024673.
The spelling of 1332718464 in words is "one billion, three hundred thirty-two million, seven hundred eighteen thousand, four hundred sixty-four".
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