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394380241920 = 210325717235359
BaseRepresentation
bin1011011110100101110…
…01001110110000000000
31101200222001000002011200
411233102321032300000
522430142320220140
6501101545141200
740331052513450
oct5572271166000
91350861002150
10394380241920
1114228a401a35
126452518a800
132b2612868c2
1415133a93d60
15a3d3370030
hex5bd2e4ec00

394380241920 has 2112 divisors, whose sum is σ = 1787850455040. Its totient is φ = 78272004096.

The previous prime is 394380241901. The next prime is 394380241921. The reversal of 394380241920 is 29142083493.

394380241920 is a `hidden beast` number, since 3 + 9 + 4 + 380 + 241 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (394380241921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6684410851 + ... + 6684410909.

Almost surely, 2394380241920 is an apocalyptic number.

394380241920 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 394380241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893925227520).

394380241920 is an abundant number, since it is smaller than the sum of its proper divisors (1393470213120).

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

394380241920 is a wasteful number, since it uses less digits than its factorization.

394380241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 394380241920 in words is "three hundred ninety-four billion, three hundred eighty million, two hundred forty-one thousand, nine hundred twenty".