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394306304 = 2871391583
BaseRepresentation
bin10111100000001…
…010001100000000
31000110221211120012
4113200022030000
51301420300204
6103043204052
712525356030
oct2740121400
91013854505
10394306304
11192637187
12b0076628
13638c9b52
143a5218c0
152493b76e
hex1780a300

394306304 has 72 divisors (see below), whose sum is σ = 906554880. Its totient is φ = 167666688.

The previous prime is 394306219. The next prime is 394306331. The reversal of 394306304 is 403603493.

It is a happy number.

It is a super-2 number, since 2×3943063042 = 310954922748280832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 248297 + ... + 249879.

It is an arithmetic number, because the mean of its divisors is an integer number (12591040).

Almost surely, 2394306304 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 394306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453277440).

394306304 is an abundant number, since it is smaller than the sum of its proper divisors (512248576).

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

394306304 is a wasteful number, since it uses less digits than its factorization.

394306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 394306304 is about 19857.1474285709. The cubic root of 394306304 is about 733.2936206226.

Adding to 394306304 its reverse (403603493), we get a palindrome (797909797).

The spelling of 394306304 in words is "three hundred ninety-four million, three hundred six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 256 278 448 556 896 973 1112 1583 1792 1946 2224 3166 3892 4448 6332 7784 8896 11081 12664 15568 17792 22162 25328 31136 35584 44324 50656 62272 88648 101312 124544 177296 202624 220037 249088 354592 405248 440074 709184 880148 1418368 1540259 1760296 2836736 3080518 3520592 6161036 7041184 12322072 14082368 24644144 28164736 49288288 56329472 98576576 197153152 394306304