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890611344 = 243272930467
BaseRepresentation
bin110101000101011…
…010011010010000
32022001211202002100
4311011122122100
53310444030334
6224212520400
731033033350
oct6505323220
92261752070
10890611344
114177aa537
1220a320100
1311268a17c
14863d4b60
15532c4c99
hex3515a690

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".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 14616 29232 30467 60934 91401 121868 182802 213269 243736 274203 365604 426538 487472 548406 639807 731208 853076 883543 1096812 1279614 1462416 1706152 1767086 1919421 2193624 2559228 2650629 3412304 3534172 3838842 4387248 5118456 5301258 6184801 7068344 7677684 7951887 10236912 10602516 12369602 14136688 15355368 15903774 18554403 21205032 24739204 30710736 31807548 37108806 42410064 49478408 55663209 63615096 74217612 98956816 111326418 127230192 148435224 222652836 296870448 445305672 890611344