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1244293344 = 253272512459
BaseRepresentation
bin100101000101010…
…0110100011100000
310012201100122120200
41022022212203200
510022014341334
6323245305200
742556214250
oct11212464340
93181318520
101244293344
1158940a008
122a8865200
1316aa32268
14bb37d960
1574389799
hex4a2a68e0

1244293344 has 144 divisors (see below), whose sum is σ = 4061715840. Its totient is φ = 353952000.

The previous prime is 1244293339. The next prime is 1244293397. The reversal of 1244293344 is 4433924421.

1244293344 is a `hidden beast` number, since 1 + 24 + 4 + 293 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1244293299 and 1244293308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504787 + ... + 507245.

It is an arithmetic number, because the mean of its divisors is an integer number (28206360).

Almost surely, 21244293344 is an apocalyptic number.

1244293344 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 1244293344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030857920).

1244293344 is an abundant number, since it is smaller than the sum of its proper divisors (2817422496).

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

1244293344 is a wasteful number, since it uses less digits than its factorization.

1244293344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2722 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1244293344 is about 35274.5424350196. The cubic root of 1244293344 is about 1075.5755616973.

The spelling of 1244293344 in words is "one billion, two hundred forty-four million, two hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 251 252 288 336 502 504 672 753 1004 1008 1506 1757 2008 2016 2259 2459 3012 3514 4016 4518 4918 5271 6024 7028 7377 8032 9036 9836 10542 12048 14056 14754 15813 17213 18072 19672 21084 22131 24096 28112 29508 31626 34426 36144 39344 42168 44262 51639 56224 59016 63252 68852 72288 78688 84336 88524 103278 118032 126504 137704 154917 168672 177048 206556 236064 253008 275408 309834 354096 413112 506016 550816 617209 619668 708192 826224 1234418 1239336 1652448 1851627 2468836 2478672 3703254 4320463 4937672 4957344 5554881 7406508 8640926 9875344 11109762 12961389 14813016 17281852 19750688 22219524 25922778 29626032 34563704 38884167 44439048 51845556 59252064 69127408 77768334 88878096 103691112 138254816 155536668 177756192 207382224 311073336 414764448 622146672 1244293344