Base | Representation |
---|---|
bin | 110101000101011… |
… | …010011010010000 |
3 | 2022001211202002100 |
4 | 311011122122100 |
5 | 3310444030334 |
6 | 224212520400 |
7 | 31033033350 |
oct | 6505323220 |
9 | 2261752070 |
10 | 890611344 |
11 | 4177aa537 |
12 | 20a320100 |
13 | 11268a17c |
14 | 863d4b60 |
15 | 532c4c99 |
hex | 3515a690 |
890611344 has 120 divisors (see below), whose sum is σ = 2946864960. Its totient is φ = 245677824.
The previous prime is 890611343. The next prime is 890611357. The reversal of 890611344 is 443116098.
890611344 is a `hidden beast` number, since 8 + 9 + 0 + 611 + 34 + 4 = 666.
It is a super-2 number, since 2×8906113442 = 1586377132122972672, which contains 22 as substring.
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 = 890611299 and 890611308.
It is not an unprimeable number, because it can be changed into a prime (890611343) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 13999 + ... + 44465.
It is an arithmetic number, because the mean of its divisors is an integer number (24557208).
Almost surely, 2890611344 is an apocalyptic number.
890611344 is a gapful number since it is divisible by the number (84) 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 890611344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473432480).
890611344 is an abundant number, since it is smaller than the sum of its proper divisors (2056253616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
890611344 is a wasteful number, since it uses less digits than its factorization.
890611344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30517 (or 30508 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 890611344 is about 29843.1121701474. The cubic root of 890611344 is about 962.1203653549.
The spelling of 890611344 in words is "eight hundred ninety million, six hundred eleven thousand, three hundred forty-four".
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