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394828032 = 2834112539
BaseRepresentation
bin10111100010001…
…001100100000000
31000111221100020110
4113202021210000
51302033444112
6103102311320
712532661064
oct2742114400
91014840213
10394828032
11192963165
12b0288540
1363a50471
143a619aa4
15249e113c
hex17889900

394828032 has 72 divisors (see below), whose sum is σ = 1076533920. Its totient is φ = 128389120.

The previous prime is 394828003. The next prime is 394828081. The reversal of 394828032 is 230828493.

It is a super-3 number, since 3×3948280323 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25219 + ... + 37757.

It is an arithmetic number, because the mean of its divisors is an integer number (14951860).

Almost surely, 2394828032 is an apocalyptic number.

394828032 is a gapful number since it is divisible by the number (32) 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 394828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538266960).

394828032 is an abundant number, since it is smaller than the sum of its proper divisors (681705888).

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

394828032 is a wasteful number, since it uses less digits than its factorization.

394828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12599 (or 12585 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 394828032 is about 19870.2801188106. The cubic root of 394828032 is about 733.6168982343.

The spelling of 394828032 in words is "three hundred ninety-four million, eight hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 12539 15744 25078 31488 37617 50156 75234 100312 150468 200624 300936 401248 514099 601872 802496 1028198 1203744 1542297 1604992 2056396 2407488 3084594 3209984 4112792 4814976 6169188 8225584 9629952 12338376 16451168 24676752 32902336 49353504 65804672 98707008 131609344 197414016 394828032