| Base | Representation |
|---|---|
| bin | 101001001100110… |
| … | …1011101000000000 |
| 3 | 10120100100110002101 |
| 4 | 1102121223220000 |
| 5 | 10312402322000 |
| 6 | 345103000144 |
| 7 | 46154515201 |
| oct | 12231535000 |
| 9 | 3510313071 |
| 10 | 1382464000 |
| 11 | 64a401735 |
| 12 | 326b99054 |
| 13 | 19054ba48 |
| 14 | d18695a8 |
| 15 | 8157de6a |
| hex | 5266ba00 |
1382464000 has 80 divisors (see below), whose sum is σ = 3447419976. Its totient is φ = 552960000.
The previous prime is 1382463991. The next prime is 1382464007. The reversal of 1382464000 is 4642831.
It can be written as a sum of positive squares in 4 ways, for example, as 713103616 + 669360384 = 26704^2 + 25872^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×13824640002 = 3822413422592000000, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 1382464000.
It is not an unprimeable number, because it can be changed into a prime (1382464007) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53200 + ... + 74800.
Almost surely, 21382464000 is an apocalyptic number.
1382464000 is a gapful number since it is divisible by the number (10) 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 1382464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723709988).
1382464000 is an abundant number, since it is smaller than the sum of its proper divisors (2064955976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1382464000 is an frugal number, since it uses more digits than its factorization.
1382464000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21634 (or 21608 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 28.
The square root of 1382464000 is about 37181.5007765959. The cubic root of 1382464000 is about 1113.9985108715.
It can be divided in two parts, 13824 and 64000, that multiplied together give a cube (884736000 = 9603).
The spelling of 1382464000 in words is "one billion, three hundred eighty-two million, four hundred sixty-four thousand".
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