Base | Representation |
---|---|
bin | 101000000011010… |
… | …1000000000000000 |
3 | 10110122210220102000 |
4 | 1100012220000000 |
5 | 10223020221414 |
6 | 341204424000 |
7 | 45206036400 |
oct | 12006500000 |
9 | 3418726360 |
10 | 1343913984 |
11 | 62a671516 |
12 | 3160a8000 |
13 | 18557219a |
14 | ca6b2800 |
15 | 7ceb6b09 |
hex | 501a8000 |
1343913984 has 384 divisors, whose sum is σ = 4781433600. Its totient is φ = 371589120.
The previous prime is 1343913983. The next prime is 1343914001. The reversal of 1343913984 is 4893193431.
1343913984 is a `hidden beast` number, since 1 + 3 + 439 + 139 + 84 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×13439139842 = 3612209592781504512, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (1343913983) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43352049 + ... + 43352079.
It is an arithmetic number, because the mean of its divisors is an integer number (12451650).
Almost surely, 21343913984 is an apocalyptic number.
1343913984 is a gapful number since it is divisible by the number (14) 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 1343913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390716800).
1343913984 is an abundant number, since it is smaller than the sum of its proper divisors (3437519616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1343913984 is an frugal number, since it uses more digits than its factorization.
1343913984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 84 (or 43 counting only the distinct ones).
The product of its digits is 279936, while the sum is 45.
The square root of 1343913984 is about 36659.4324014980. The cubic root of 1343913984 is about 1103.5461272305.
The spelling of 1343913984 in words is "one billion, three hundred forty-three million, nine hundred thirteen thousand, nine hundred eighty-four".
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