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1244234000 = 245319137239
BaseRepresentation
bin100101000101001…
…1000000100010000
310012201020122011202
41022022120010100
510022010442000
6323244130332
742555546242
oct11212300420
93181218152
101244234000
11589379469
122a88369a8
1316aa11249
14bb366092
1574376dd5
hex4a298110

1244234000 has 160 divisors (see below), whose sum is σ = 3203366400. Its totient is φ = 466099200.

The previous prime is 1244233997. The next prime is 1244234021. The reversal of 1244234000 is 4324421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5205881 + ... + 5206119.

It is an arithmetic number, because the mean of its divisors is an integer number (20021040).

Almost surely, 21244234000 is an apocalyptic number.

1244234000 is a gapful number since it is divisible by the number (10) 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 1244234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601683200).

1244234000 is an abundant number, since it is smaller than the sum of its proper divisors (1959132400).

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

1244234000 is a wasteful number, since it uses less digits than its factorization.

1244234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1244234000 is about 35273.7012517825. The cubic root of 1244234000 is about 1075.5584623075.

Adding to 1244234000 its reverse (4324421), we get a palindrome (1248558421).

The spelling of 1244234000 in words is "one billion, two hundred forty-four million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 137 152 190 200 239 250 274 304 380 400 475 478 500 548 685 760 950 956 1000 1096 1195 1370 1520 1900 1912 2000 2192 2375 2390 2603 2740 3425 3800 3824 4541 4750 4780 5206 5480 5975 6850 7600 9082 9500 9560 10412 10960 11950 13015 13700 17125 18164 19000 19120 20824 22705 23900 26030 27400 29875 32743 34250 36328 38000 41648 45410 47800 52060 54800 59750 65075 65486 68500 72656 90820 95600 104120 113525 119500 130150 130972 137000 163715 181640 208240 227050 239000 260300 261944 274000 325375 327430 363280 454100 478000 520600 523888 567625 622117 650750 654860 818575 908200 1041200 1135250 1244234 1301500 1309720 1637150 1816400 2270500 2488468 2603000 2619440 3110585 3274300 4092875 4541000 4976936 5206000 6221170 6548600 8185750 9082000 9953872 12442340 13097200 15552925 16371500 24884680 31105850 32743000 49769360 62211700 65486000 77764625 124423400 155529250 248846800 311058500 622117000 1244234000