| Base | Representation |
|---|---|
| bin | 100111111100010… |
| … | …1011011010110000 |
| 3 | 10110101221011022000 |
| 4 | 1033320223122300 |
| 5 | 10221101223333 |
| 6 | 340554214000 |
| 7 | 45133001430 |
| oct | 11770533260 |
| 9 | 3411834260 |
| 10 | 1340257968 |
| 11 | 6285a4715 |
| 12 | 314a24300 |
| 13 | 18489206a |
| 14 | ca0002c0 |
| 15 | 7c9e3713 |
| hex | 4fe2b6b0 |
1340257968 has 480 divisors, whose sum is σ = 4976824320. Its totient is φ = 336752640.
The previous prime is 1340257957. The next prime is 1340257973. The reversal of 1340257968 is 8697520431.
1340257968 is a `hidden beast` number, since 13 + 4 + 0 + 2 + 579 + 68 = 666.
1340257968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
1340257968 is strictly pandigital in base 10.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 43234113 + ... + 43234143.
It is an arithmetic number, because the mean of its divisors is an integer number (10368384).
It is a 1-persistent number, because it is pandigital, but 2⋅1340257968 = 2680515936 is not.
Almost surely, 21340257968 is an apocalyptic number.
1340257968 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 1340257968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488412160).
1340257968 is an abundant number, since it is smaller than the sum of its proper divisors (3636566352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1340257968 is a wasteful number, since it uses less digits than its factorization.
1340257968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1340257968 is about 36609.5338402444. The cubic root of 1340257968 is about 1102.5445139138.
The spelling of 1340257968 in words is "one billion, three hundred forty million, two hundred fifty-seven thousand, nine hundred sixty-eight".
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