Base | Representation |
---|---|
bin | 101000001101101… |
… | …0110010000001000 |
3 | 10111001000220011100 |
4 | 1100123112100020 |
5 | 10230413040222 |
6 | 341521101400 |
7 | 45303153156 |
oct | 12033262010 |
9 | 3431026140 |
10 | 1349346312 |
11 | 632741946 |
12 | 317a87860 |
13 | 186724992 |
14 | cb2c83d6 |
15 | 7d6db4ac |
hex | 506d6408 |
1349346312 has 96 divisors (see below), whose sum is σ = 3754558080. Its totient is φ = 437581440.
The previous prime is 1349346277. The next prime is 1349346329. The reversal of 1349346312 is 2136439431.
1349346312 is a `hidden beast` number, since 13 + 4 + 9 + 3 + 4 + 631 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
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 23 ways as a sum of consecutive naturals, for example, 611403 + ... + 613605.
It is an arithmetic number, because the mean of its divisors is an integer number (39109980).
Almost surely, 21349346312 is an apocalyptic number.
1349346312 is a gapful number since it is divisible by the number (12) 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 1349346312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877279040).
1349346312 is an abundant number, since it is smaller than the sum of its proper divisors (2405211768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1349346312 is a wasteful number, since it uses less digits than its factorization.
1349346312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2443 (or 2436 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 1349346312 is about 36733.4494976990. The cubic root of 1349346312 is about 1105.0310350749.
It can be divided in two parts, 134934 and 6312, that added together give a triangular number (141246 = T531).
The spelling of 1349346312 in words is "one billion, three hundred forty-nine million, three hundred forty-six thousand, three hundred twelve".
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