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3445324000 = 25538291039
BaseRepresentation
bin1100110101011011…
…0111100011100000
322220002222121000121
43031112313203200
524024000332000
61325513130024
7151243525246
oct31526674340
98802877017
103445324000
111508882a08
128019b9914
1342ba34a71
14249808796
1515270bb1a
hexcd5b78e0

3445324000 has 96 divisors (see below), whose sum is σ = 8483529600. Its totient is φ = 1375142400.

The previous prime is 3445323997. The next prime is 3445324027. The reversal of 3445324000 is 4235443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315481 + ... + 3316519.

It is an arithmetic number, because the mean of its divisors is an integer number (88370100).

Almost surely, 23445324000 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 3445324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241764800).

3445324000 is an abundant number, since it is smaller than the sum of its proper divisors (5038205600).

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

3445324000 is a wasteful number, since it uses less digits than its factorization.

3445324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3445324000 is about 58696.8823703610. The cubic root of 3445324000 is about 1510.3468349377.

Adding to 3445324000 its reverse (4235443), we get a palindrome (3449559443).

The spelling of 3445324000 in words is "three billion, four hundred forty-five million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 829 1000 1039 1658 2000 2078 3316 4000 4145 4156 5195 6632 8290 8312 10390 13264 16580 16624 20725 20780 25975 26528 33160 33248 41450 41560 51950 66320 82900 83120 103625 103900 129875 132640 165800 166240 207250 207800 259750 331600 414500 415600 519500 663200 829000 831200 861331 1039000 1658000 1722662 2078000 3316000 3445324 4156000 4306655 6890648 8613310 13781296 17226620 21533275 27562592 34453240 43066550 68906480 86133100 107666375 137812960 172266200 215332750 344532400 430665500 689064800 861331000 1722662000 3445324000