Search a number
-
+
1022281344 = 2733742257
BaseRepresentation
bin111100111011101…
…100011010000000
32122020121021101000
4330323230122000
54043201000334
6245235012000
734222151040
oct7473543200
92566537330
101022281344
11485062117
1224643a000
13133a3bb06
1499aab720
155eb33299
hex3ceec680

1022281344 has 128 divisors (see below), whose sum is σ = 3448252800. Its totient is φ = 292073472.

The previous prime is 1022281343. The next prime is 1022281361. The reversal of 1022281344 is 4431822201.

1022281344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1022281343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3064 + ... + 45320.

It is an arithmetic number, because the mean of its divisors is an integer number (26939475).

Almost surely, 21022281344 is an apocalyptic number.

1022281344 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 1022281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724126400).

1022281344 is an abundant number, since it is smaller than the sum of its proper divisors (2425971456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022281344 is an equidigital number, since it uses as much as digits as its factorization.

1022281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42287 (or 42269 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1022281344 is about 31973.1347227637. The cubic root of 1022281344 is about 1007.3726254790.

The spelling of 1022281344 in words is "one billion, twenty-two million, two hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 42257 84514 126771 169028 253542 295799 338056 380313 507084 591598 676112 760626 887397 1014168 1140939 1183196 1352224 1521252 1774794 2028336 2281878 2366392 2662191 2704448 3042504 3549588 4056672 4563756 4732784 5324382 5408896 6085008 7099176 7986573 8113344 9127512 9465568 10648764 12170016 14198352 15973146 16226688 18255024 18931136 21297528 24340032 28396704 31946292 36510048 37862272 42595056 48680064 56793408 63892584 73020096 85190112 113586816 127785168 146040192 170380224 255570336 340760448 511140672 1022281344