Base | Representation |
---|---|
bin | 101000001110011… |
… | …1110110110000000 |
3 | 10111001211122211022 |
4 | 1100130332312000 |
5 | 10231020242340 |
6 | 341534205012 |
7 | 45306616160 |
oct | 12034766600 |
9 | 3431748738 |
10 | 1349774720 |
11 | 632a047a8 |
12 | 318053768 |
13 | 186844988 |
14 | cb39a5a0 |
15 | 7d7733b5 |
hex | 5073ed80 |
1349774720 has 128 divisors (see below), whose sum is σ = 3807129600. Its totient is φ = 447805440.
The previous prime is 1349774677. The next prime is 1349774729. The reversal of 1349774720 is 274779431.
1349774720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1349774729) 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, 134021 + ... + 143739.
It is an arithmetic number, because the mean of its divisors is an integer number (29743200).
Almost surely, 21349774720 is an apocalyptic number.
1349774720 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 1349774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903564800).
1349774720 is an abundant number, since it is smaller than the sum of its proper divisors (2457354880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1349774720 is an equidigital number, since it uses as much as digits as its factorization.
1349774720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9776 (or 9764 counting only the distinct ones).
The product of its (nonzero) digits is 296352, while the sum is 44.
The square root of 1349774720 is about 36739.2803413458. The cubic root of 1349774720 is about 1105.1479692376.
The spelling of 1349774720 in words is "one billion, three hundred forty-nine million, seven hundred seventy-four thousand, seven hundred twenty".
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