Base | Representation |
---|---|
bin | 101010110000101… |
… | …1110100000000000 |
3 | 10200222220101010200 |
4 | 1111201132200000 |
5 | 10414304322130 |
6 | 354213325200 |
7 | 50361634125 |
oct | 12541364000 |
9 | 3628811120 |
10 | 1434839040 |
11 | 676a24898 |
12 | 340636800 |
13 | 19b3591ab |
14 | d87c074c |
15 | 85e77760 |
hex | 5585e800 |
1434839040 has 144 divisors (see below), whose sum is σ = 4973213700. Its totient is φ = 382599168.
The previous prime is 1434839033. The next prime is 1434839051. The reversal of 1434839040 is 409384341.
It can be written as a sum of positive squares in 2 ways, for example, as 1408951296 + 25887744 = 37536^2 + 5088^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1434838986 and 1434839004.
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 11 ways as a sum of consecutive naturals, for example, 84376 + ... + 99944.
Almost surely, 21434839040 is an apocalyptic number.
1434839040 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 1434839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486606850).
1434839040 is an abundant number, since it is smaller than the sum of its proper divisors (3538374660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1434839040 is a wasteful number, since it uses less digits than its factorization.
1434839040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15602 (or 15579 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 1434839040 is about 37879.2692643351. The cubic root of 1434839040 is about 1127.8925505014.
The spelling of 1434839040 in words is "one billion, four hundred thirty-four million, eight hundred thirty-nine thousand, forty".
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