Base | Representation |
---|---|
bin | 101000000011101… |
… | …1010110111000000 |
3 | 10110200012111011120 |
4 | 1100013122313000 |
5 | 10223043403204 |
6 | 341213112240 |
7 | 45210564630 |
oct | 12007326700 |
9 | 3420174146 |
10 | 1344122304 |
11 | 62a7a3a88 |
12 | 316188680 |
13 | 185615c55 |
14 | ca7286c0 |
15 | 7d0086d9 |
hex | 501dadc0 |
1344122304 has 112 divisors (see below), whose sum is σ = 4195608576. Its totient is φ = 371635200.
The previous prime is 1344122291. The next prime is 1344122321. The reversal of 1344122304 is 4032214431.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×13441223042 = 3613329536220536832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
1344122304 is a modest number, since divided by 122304 gives 1344 as remainder.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25534 + ... + 57794.
Almost surely, 21344122304 is an apocalyptic number.
1344122304 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 1344122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097804288).
1344122304 is an abundant number, since it is smaller than the sum of its proper divisors (2851486272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1344122304 is a wasteful number, since it uses less digits than its factorization.
1344122304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32314 (or 32304 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 1344122304 is about 36662.2735792531. The cubic root of 1344122304 is about 1103.6031444838.
Adding to 1344122304 its reverse (4032214431), we get a palindrome (5376336735).
The spelling of 1344122304 in words is "one billion, three hundred forty-four million, one hundred twenty-two thousand, three hundred four".
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