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394113384 = 23337277941
BaseRepresentation
bin10111011111011…
…011000101101000
31000110121000221000
4113133123011220
51301343112014
6103035115000
712523623420
oct2737330550
91013530830
10394113384
11192515245
12abba2a60
13638600b2
143a4b1480
15248ee509
hex177db168

394113384 has 128 divisors (see below), whose sum is σ = 1257004800. Its totient is φ = 112078080.

The previous prime is 394113373. The next prime is 394113389. The reversal of 394113384 is 483311493.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (394113389) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 418354 + ... + 419294.

It is an arithmetic number, because the mean of its divisors is an integer number (9820350).

Almost surely, 2394113384 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 394113384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628502400).

394113384 is an abundant number, since it is smaller than the sum of its proper divisors (862891416).

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

394113384 is a wasteful number, since it uses less digits than its factorization.

394113384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1230 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 394113384 is about 19852.2891375277. The cubic root of 394113384 is about 733.1740096487.

The spelling of 394113384 in words is "three hundred ninety-four million, one hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 277 378 504 554 756 831 941 1108 1512 1662 1882 1939 2216 2493 2823 3324 3764 3878 4986 5646 5817 6587 6648 7479 7528 7756 8469 9972 11292 11634 13174 14958 15512 16938 17451 19761 19944 22584 23268 25407 26348 29916 33876 34902 39522 46536 50814 52353 52696 59283 59832 67752 69804 79044 101628 104706 118566 139608 158088 177849 203256 209412 237132 260657 355698 418824 474264 521314 711396 781971 1042628 1422792 1563942 1824599 2085256 2345913 3127884 3649198 4691826 5473797 6255768 7037739 7298396 9383652 10947594 14075478 14596792 16421391 18767304 21895188 28150956 32842782 43790376 49264173 56301912 65685564 98528346 131371128 197056692 394113384