| Base | Representation |
|---|---|
| bin | 100111111001100… |
| … | …0000100000000000 |
| 3 | 10110022010122012000 |
| 4 | 1033303000200000 |
| 5 | 10220211141311 |
| 6 | 340502304000 |
| 7 | 45114240531 |
| oct | 11763004000 |
| 9 | 3408118160 |
| 10 | 1338771456 |
| 11 | 6277798a0 |
| 12 | 314428000 |
| 13 | 184491579 |
| 14 | c9b34688 |
| 15 | 7c7ed056 |
| hex | 4fcc0800 |
1338771456 has 384 divisors, whose sum is σ = 4528742400. Its totient is φ = 387072000.
The previous prime is 1338771451. The next prime is 1338771461. The reversal of 1338771456 is 6541778331.
It is an interprime number because it is at equal distance from previous prime (1338771451) and next prime (1338771461).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×13387714562 = 3584618022800719872, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
Its product of digits (423360) is a multiple of the sum of its prime factors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1338771451) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18855901 + ... + 18855971.
It is an arithmetic number, because the mean of its divisors is an integer number (11793600).
Almost surely, 21338771456 is an apocalyptic number.
1338771456 is a gapful number since it is divisible by the number (16) 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 1338771456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).
1338771456 is an abundant number, since it is smaller than the sum of its proper divisors (3189970944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1338771456 is a wasteful number, since it uses less digits than its factorization.
1338771456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 144 (or 118 counting only the distinct ones).
The product of its digits is 423360, while the sum is 45.
The square root of 1338771456 is about 36589.2259551907. The cubic root of 1338771456 is about 1102.1367436699.
The spelling of 1338771456 in words is "one billion, three hundred thirty-eight million, seven hundred seventy-one thousand, four hundred fifty-six".
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