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394207128 = 23337416359
BaseRepresentation
bin10111011111110…
…001111110011000
31000110202210112000
4113133301332120
51301404112003
6103041121000
712524463630
oct2737617630
91013683460
10394207128
11192579717
12b0029160
1363893973
143a4d76c0
152491c1a3
hex177f1f98

394207128 has 128 divisors (see below), whose sum is σ = 1282176000. Its totient is φ = 109866240.

The previous prime is 394207109. The next prime is 394207147. The reversal of 394207128 is 821702493.

It is an interprime number because it is at equal distance from previous prime (394207109) and next prime (394207147).

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

It is a junction number, because it is equal to n+sod(n) for n = 394207092 and 394207101.

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, 58813 + ... + 65171.

It is an arithmetic number, because the mean of its divisors is an integer number (10017000).

Almost surely, 2394207128 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 394207128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641088000).

394207128 is an abundant number, since it is smaller than the sum of its proper divisors (887968872).

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

394207128 is a wasteful number, since it uses less digits than its factorization.

394207128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 394207128 is about 19854.6500346896. The cubic root of 394207128 is about 733.2321360817.

The spelling of 394207128 in words is "three hundred ninety-four million, two hundred seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3444 4428 5166 6359 6888 7749 8856 10332 12718 15498 19077 20664 25436 30996 38154 44513 50872 57231 61992 76308 89026 114462 133539 152616 171693 178052 228924 260719 267078 343386 356104 400617 457848 521438 534156 686772 782157 801234 1042876 1068312 1201851 1373544 1564314 1602468 1825033 2085752 2346471 2403702 3128628 3204936 3650066 4692942 4807404 5475099 6257256 7039413 7300132 9385884 9614808 10950198 14078826 14600264 16425297 18771768 21900396 28157652 32850594 43800792 49275891 56315304 65701188 98551782 131402376 197103564 394207128