Base | Representation |
---|---|
bin | 101001101000110000000 |
3 | 2120022112120 |
4 | 11031012000 |
5 | 322124402 |
6 | 45124240 |
7 | 14411463 |
oct | 5150600 |
9 | 2508476 |
10 | 1364352 |
11 | 852070 |
12 | 559680 |
13 | 38a012 |
14 | 2772da |
15 | 1be3bc |
hex | 14d180 |
1364352 has 128 divisors (see below), whose sum is σ = 4406400. Its totient is φ = 368640.
The previous prime is 1364351. The next prime is 1364359. The reversal of 1364352 is 2534631.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×13643522 = 3722912759808, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1364351) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71799 + ... + 71817.
It is an arithmetic number, because the mean of its divisors is an integer number (34425).
21364352 is an apocalyptic number.
1364352 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 1364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203200).
1364352 is an abundant number, since it is smaller than the sum of its proper divisors (3042048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1364352 is a wasteful number, since it uses less digits than its factorization.
1364352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64 (or 52 counting only the distinct ones).
The product of its digits is 2160, while the sum is 24.
The square root of 1364352 is about 1168.0547932353. The cubic root of 1364352 is about 110.9112186769.
Adding to 1364352 its reverse (2534631), we get a palindrome (3898983).
It can be divided in two parts, 13643 and 52, that added together give a triangular number (13695 = T165).
The spelling of 1364352 in words is "one million, three hundred sixty-four thousand, three hundred fifty-two".
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