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394128 = 243271723
BaseRepresentation
bin1100000001110010000
3202000122100
41200032100
5100103003
612240400
73231030
oct1401620
9660570
10394128
1124a129
12170100
1310a517
14a38c0
157bba3
hex60390

394128 has 120 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 101376.

The previous prime is 394123. The next prime is 394129. The reversal of 394128 is 821493.

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

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (394123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17125 + ... + 17147.

2394128 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 394128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384).

394128 is an abundant number, since it is smaller than the sum of its proper divisors (998640).

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

394128 is a wasteful number, since it uses less digits than its factorization.

394128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 394128 is about 627.7961452574. The cubic root of 394128 is about 73.3183072979.

It can be divided in two parts, 3941 and 28, that added together give a square (3969 = 632).

The spelling of 394128 in words is "three hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 23 24 28 34 36 42 46 48 51 56 63 68 69 72 84 92 102 112 119 126 136 138 144 153 161 168 184 204 207 238 252 272 276 306 322 336 357 368 391 408 414 476 483 504 552 612 644 714 782 816 828 952 966 1008 1071 1104 1173 1224 1288 1428 1449 1564 1656 1904 1932 2142 2346 2448 2576 2737 2856 2898 3128 3312 3519 3864 4284 4692 5474 5712 5796 6256 7038 7728 8211 8568 9384 10948 11592 14076 16422 17136 18768 21896 23184 24633 28152 32844 43792 49266 56304 65688 98532 131376 197064 394128