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3946422000 = 243531374801
BaseRepresentation
bin1110101100111001…
…1001111011110000
3101012000220000020210
43223032121323300
531040241001000
61451333304120
7166540014333
oct35316317360
911160800223
103946422000
11174571a294
12921795040
134ab7b2861
142961a861a
151816e0350
hexeb399ef0

3946422000 has 160 divisors (see below), whose sum is σ = 12818804544. Its totient is φ = 1044480000.

The previous prime is 3946421977. The next prime is 3946422049. The reversal of 3946422000 is 2246493.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819600 + ... + 824400.

Almost surely, 23946422000 is an apocalyptic number.

3946422000 is a gapful number since it is divisible by the number (30) 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 3946422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409402272).

3946422000 is an abundant number, since it is smaller than the sum of its proper divisors (8872382544).

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

3946422000 is a wasteful number, since it uses less digits than its factorization.

3946422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3946422000 is about 62820.5539612633. The cubic root of 3946422000 is about 1580.2816888139.

Adding to 3946422000 its reverse (2246493), we get a palindrome (3948668493).

The spelling of 3946422000 in words is "three billion, nine hundred forty-six million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 137 150 200 240 250 274 300 375 400 411 500 548 600 685 750 822 1000 1096 1200 1370 1500 1644 2000 2055 2192 2740 3000 3288 3425 4110 4801 5480 6000 6576 6850 8220 9602 10275 10960 13700 14403 16440 17125 19204 20550 24005 27400 28806 32880 34250 38408 41100 48010 51375 54800 57612 68500 72015 76816 82200 96020 102750 115224 120025 137000 144030 164400 192040 205500 230448 240050 274000 288060 360075 384080 411000 480100 576120 600125 657737 720150 822000 960200 1152240 1200250 1315474 1440300 1800375 1920400 1973211 2400500 2630948 2880600 3288685 3600750 3946422 4801000 5261896 5761200 6577370 7201500 7892844 9602000 9866055 10523792 13154740 14403000 15785688 16443425 19732110 26309480 28806000 31571376 32886850 39464220 49330275 52618960 65773700 78928440 82217125 98660550 131547400 157856880 164434250 197321100 246651375 263094800 328868500 394642200 493302750 657737000 789284400 986605500 1315474000 1973211000 3946422000