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394601416 = 2311171911381
BaseRepresentation
bin10111100001010…
…010001111001000
31000111111211101021
4113201102033020
51302004221131
6103053402224
712531025306
oct2741221710
91014454337
10394601416
11192818980
12b0199374
13639a1281
143a59b276
1524998e11
hex178523c8

394601416 has 64 divisors (see below), whose sum is σ = 859714560. Its totient is φ = 167808000.

The previous prime is 394601413. The next prime is 394601429. The reversal of 394601416 is 614106493.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (394601413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285046 + ... + 286426.

It is an arithmetic number, because the mean of its divisors is an integer number (13433040).

Almost surely, 2394601416 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 394601416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429857280).

394601416 is an abundant number, since it is smaller than the sum of its proper divisors (465113144).

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

394601416 is a wasteful number, since it uses less digits than its factorization.

394601416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 394601416 is about 19864.5769146992. The cubic root of 394601416 is about 733.4765154764.

The spelling of 394601416 in words is "three hundred ninety-four million, six hundred one thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 191 374 382 748 764 1381 1496 1528 2101 2762 3247 4202 5524 6494 8404 11048 12988 15191 16808 23477 25976 30382 35717 46954 60764 71434 93908 121528 142868 187816 258247 263771 285736 516494 527542 1032988 1055084 2065976 2110168 2901481 4484107 5802962 8968214 11605924 17936428 23211848 35872856 49325177 98650354 197300708 394601416