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3444922000 = 245313373581
BaseRepresentation
bin1100110101010101…
…0101011010010000
322220002020011120201
43031111111122100
524023400001000
61325500344544
7151240232242
oct31525253220
98802204521
103444922000
111508628983
12801845154
1342b923ab0
14249742092
1515267c96a
hexcd555690

3444922000 has 160 divisors (see below), whose sum is σ = 9215597664. Its totient is φ = 1237248000.

The previous prime is 3444921989. The next prime is 3444922043. The reversal of 3444922000 is 2294443.

It can be written as a sum of positive squares in 16 ways, for example, as 1570378384 + 1874543616 = 39628^2 + 43296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3444922000.

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, 960210 + ... + 963790.

Almost surely, 23444922000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607798832).

3444922000 is an abundant number, since it is smaller than the sum of its proper divisors (5770675664).

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

3444922000 is a wasteful number, since it uses less digits than its factorization.

3444922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3444922000 is about 58693.4578977930. The cubic root of 3444922000 is about 1510.2880902890.

It can be divided in two parts, 3444 and 922000, that added together give a square (925444 = 9622).

The spelling of 3444922000 in words is "three billion, four hundred forty-four million, nine hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 37 40 50 52 65 74 80 100 104 125 130 148 185 200 208 250 260 296 325 370 400 481 500 520 592 650 740 925 962 1000 1040 1300 1480 1625 1850 1924 2000 2405 2600 2960 3250 3581 3700 3848 4625 4810 5200 6500 7162 7400 7696 9250 9620 12025 13000 14324 14800 17905 18500 19240 24050 26000 28648 35810 37000 38480 46553 48100 57296 60125 71620 74000 89525 93106 96200 120250 132497 143240 179050 186212 192400 232765 240500 264994 286480 358100 372424 447625 465530 481000 529988 662485 716200 744848 895250 931060 962000 1059976 1163825 1324970 1432400 1722461 1790500 1862120 2119952 2327650 2649940 3312425 3444922 3581000 3724240 4655300 5299880 5819125 6624850 6889844 7162000 8612305 9310600 10599760 11638250 13249700 13779688 16562125 17224610 18621200 23276500 26499400 27559376 33124250 34449220 43061525 46553000 52998800 66248500 68898440 86123050 93106000 132497000 137796880 172246100 215307625 264994000 344492200 430615250 688984400 861230500 1722461000 3444922000