| Base | Representation |
|---|---|
| bin | 1100010101101011… |
| … | …0010010101000000 |
| 3 | 22112211100210220220 |
| 4 | 3011122302111000 |
| 5 | 23240401232230 |
| 6 | 1304354303040 |
| 7 | 145035445500 |
| oct | 30532622500 |
| 9 | 8484323826 |
| 10 | 3312133440 |
| 11 | 144a681970 |
| 12 | 785287a80 |
| 13 | 40a26cc95 |
| 14 | 235c57a00 |
| 15 | 145b9cd10 |
| hex | c56b2540 |
3312133440 has 672 divisors, whose sum is σ = 13784909184. Its totient is φ = 665763840.
The previous prime is 3312133379. The next prime is 3312133441. The reversal of 3312133440 is 443312133.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 3312133440.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3312133441) 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 95 ways as a sum of consecutive naturals, for example, 19145194 + ... + 19145366.
Almost surely, 23312133440 is an apocalyptic number.
3312133440 is a gapful number since it is divisible by the number (30) 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 3312133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892454592).
3312133440 is an abundant number, since it is smaller than the sum of its proper divisors (10472775744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3312133440 is a wasteful number, since it uses less digits than its factorization.
3312133440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255 (or 238 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 24.
The square root of 3312133440 is about 57551.1376082176. The cubic root of 3312133440 is about 1490.6280012685.
Adding to 3312133440 its reverse (443312133), we get a palindrome (3755445573).
The spelling of 3312133440 in words is "three billion, three hundred twelve million, one hundred thirty-three thousand, four hundred forty".
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