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1244010312 = 2335719013
BaseRepresentation
bin100101000100110…
…0001011101001000
310012200211021100000
41022021201131020
510021431312222
6323235243000
742553625136
oct11211413510
93180737300
101244010312
115892363a6
122a8749460
1316a96349c
14bb308756
15743309ac
hex4a261748

1244010312 has 96 divisors (see below), whose sum is σ = 3543583680. Its totient is φ = 408784320.

The previous prime is 1244010311. The next prime is 1244010347. The reversal of 1244010312 is 2130104421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1244010311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133518 + ... + 142530.

It is an arithmetic number, because the mean of its divisors is an integer number (36912330).

Almost surely, 21244010312 is an apocalyptic number.

1244010312 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 1244010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771791840).

1244010312 is an abundant number, since it is smaller than the sum of its proper divisors (2299573368).

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

1244010312 is an equidigital number, since it uses as much as digits as its factorization.

1244010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1244010312 is about 35270.5303617624. The cubic root of 1244010312 is about 1075.4940039231.

Adding to 1244010312 its reverse (2130104421), we get a palindrome (3374114733).

The spelling of 1244010312 in words is "one billion, two hundred forty-four million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 243 284 324 426 486 568 639 648 852 972 1278 1704 1917 1944 2556 3834 5112 5751 7668 9013 11502 15336 17253 18026 23004 27039 34506 36052 46008 54078 69012 72104 81117 108156 138024 162234 216312 243351 324468 486702 639923 648936 730053 973404 1279846 1460106 1919769 1946808 2190159 2559692 2920212 3839538 4380318 5119384 5759307 5840424 7679076 8760636 11518614 15358152 17277921 17521272 23037228 34555842 46074456 51833763 69111684 103667526 138223368 155501289 207335052 311002578 414670104 622005156 1244010312