Base | Representation |
---|---|
bin | 100111111100101… |
… | …0001100101110000 |
3 | 10110102020002202211 |
4 | 1033321101211300 |
5 | 10221121224240 |
6 | 341001421504 |
7 | 45134222320 |
oct | 11771214560 |
9 | 3412202684 |
10 | 1340414320 |
11 | 6286a1133 |
12 | 314a9a894 |
13 | 18491828b |
14 | ca041280 |
15 | 7ca24bea |
hex | 4fe51970 |
1340414320 has 80 divisors (see below), whose sum is σ = 3610572480. Its totient is φ = 453261312.
The previous prime is 1340414303. The next prime is 1340414321. The reversal of 1340414320 is 234140431.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×13404143202 = 3593421098522124800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1340414291 and 1340414300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1340414321) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24486 + ... + 57274.
It is an arithmetic number, because the mean of its divisors is an integer number (45132156).
Almost surely, 21340414320 is an apocalyptic number.
1340414320 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 1340414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805286240).
1340414320 is an abundant number, since it is smaller than the sum of its proper divisors (2270158160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1340414320 is a wasteful number, since it uses less digits than its factorization.
1340414320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 32882 (or 32876 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 1340414320 is about 36611.6691780094. The cubic root of 1340414320 is about 1102.5873858436.
Adding to 1340414320 its reverse (234140431), we get a palindrome (1574554751).
The spelling of 1340414320 in words is "one billion, three hundred forty million, four hundred fourteen thousand, three hundred twenty".
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