| Base | Representation |
|---|---|
| bin | 101000001011101… |
| … | …1000100001100000 |
| 3 | 10110222002002112210 |
| 4 | 1100113120201200 |
| 5 | 10230131311130 |
| 6 | 341442522120 |
| 7 | 45261264213 |
| oct | 12027304140 |
| 9 | 3428062483 |
| 10 | 1348307040 |
| 11 | 6320a2043 |
| 12 | 317666340 |
| 13 | 18644c922 |
| 14 | cb0d777a |
| 15 | 7d5835b0 |
| hex | 505d8860 |
1348307040 has 96 divisors (see below), whose sum is σ = 4307095296. Its totient is φ = 354475520.
The previous prime is 1348307027. The next prime is 1348307069. The reversal of 1348307040 is 407038431.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×13483070402 = 3635863748227123200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 1348306989 and 1348307007.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14299 + ... + 53861.
It is an arithmetic number, because the mean of its divisors is an integer number (44865576).
Almost surely, 21348307040 is an apocalyptic number.
1348307040 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 1348307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153547648).
1348307040 is an abundant number, since it is smaller than the sum of its proper divisors (2958788256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1348307040 is a wasteful number, since it uses less digits than its factorization.
1348307040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39652 (or 39644 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 30.
The square root of 1348307040 is about 36719.3006469350. The cubic root of 1348307040 is about 1104.7472624138.
The spelling of 1348307040 in words is "one billion, three hundred forty-eight million, three hundred seven thousand, forty".
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