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394584134940 = 22335853856637
BaseRepresentation
bin1011011110111110000…
…11000001010100011100
31101201111020122220211000
411233133003001110130
522431102014304230
6501134111230300
740336106543652
oct5573703012434
91351436586730
10394584134940
11142384503866
1264581518390
132b2945a4b68
1415152baadd2
15a3e61e7b60
hex5bdf0c151c

394584134940 has 96 divisors (see below), whose sum is σ = 1229035671360. Its totient is φ = 105098957568.

The previous prime is 394584134929. The next prime is 394584134941. The reversal of 394584134940 is 49431485493.

394584134940 is a `hidden beast` number, since 3 + 9 + 4 + 584 + 13 + 4 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394584134941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32302 + ... + 888938.

It is an arithmetic number, because the mean of its divisors is an integer number (12802454910).

Almost surely, 2394584134940 is an apocalyptic number.

394584134940 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 394584134940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614517835680).

394584134940 is an abundant number, since it is smaller than the sum of its proper divisors (834451536420).

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

394584134940 is a wasteful number, since it uses less digits than its factorization.

394584134940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857508 (or 857500 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 394584134940 in words is "three hundred ninety-four billion, five hundred eighty-four million, one hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 853 1706 2559 3412 4265 5118 7677 8530 10236 12795 15354 17060 23031 25590 30708 38385 46062 51180 76770 92124 115155 153540 230310 460620 856637 1713274 2569911 3426548 4283185 5139822 7709733 8566370 10279644 12849555 15419466 17132740 23129199 25699110 30838932 38548665 46258398 51398220 77097330 92516796 115645995 154194660 231291990 462583980 730711361 1461422722 2192134083 2922845444 3653556805 4384268166 6576402249 7307113610 8768536332 10960670415 13152804498 14614227220 19729206747 21921340830 26305608996 32882011245 39458413494 43842681660 65764022490 78916826988 98646033735 131528044980 197292067470 394584134940