Base | Representation |
---|---|
bin | 100111101100110… |
… | …1111100110000000 |
3 | 10102211200011100100 |
4 | 1033121233212000 |
5 | 10212012223413 |
6 | 340104322400 |
7 | 45004035120 |
oct | 11731574600 |
9 | 3384604310 |
10 | 1332148608 |
11 | 623a65a6a |
12 | 312173400 |
13 | 182cb2c1b |
14 | c8cccc80 |
15 | 7be40a73 |
hex | 4f66f980 |
1332148608 has 192 divisors, whose sum is σ = 4406032800. Its totient is φ = 378445824.
The previous prime is 1332148591. The next prime is 1332148619. The reversal of 1332148608 is 8068412331.
1332148608 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 48 + 608 = 666.
1332148608 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1878558 + ... + 1879266.
Almost surely, 21332148608 is an apocalyptic number.
1332148608 is a gapful number since it is divisible by the number (18) 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 1332148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203016400).
1332148608 is an abundant number, since it is smaller than the sum of its proper divisors (3073884192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1332148608 is a wasteful number, since it uses less digits than its factorization.
1332148608 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 969 (or 954 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 1332148608 is about 36498.6110420657. The cubic root of 1332148608 is about 1100.3163299601.
The spelling of 1332148608 in words is "one billion, three hundred thirty-two million, one hundred forty-eight thousand, six hundred eight".
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