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404232304 = 24789107379
BaseRepresentation
bin11000000110000…
…001100001110000
31001011122010110211
4120012001201300
51311440413204
6104040033504
713005626560
oct3006014160
91034563424
10404232304
111981a6793
12b3462894
1365993b18
143b986da0
152574c804
hex18181870

404232304 has 80 divisors (see below), whose sum is σ = 916012800. Its totient is φ = 169247232.

The previous prime is 404232263. The next prime is 404232313. The reversal of 404232304 is 403232404.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066387 + ... + 1066765.

It is an arithmetic number, because the mean of its divisors is an integer number (11450160).

Almost surely, 2404232304 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 404232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458006400).

404232304 is an abundant number, since it is smaller than the sum of its proper divisors (511780496).

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

404232304 is a wasteful number, since it uses less digits than its factorization.

404232304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 404232304 is about 20105.5291897528. The cubic root of 404232304 is about 739.3958448459.

Adding to 404232304 its reverse (403232404), we get a palindrome (807464708).

The spelling of 404232304 in words is "four hundred four million, two hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 89 107 112 178 214 356 379 428 623 712 749 758 856 1246 1424 1498 1516 1712 2492 2653 2996 3032 4984 5306 5992 6064 9523 9968 10612 11984 19046 21224 33731 38092 40553 42448 66661 67462 76184 81106 133322 134924 152368 162212 236117 266644 269848 283871 324424 472234 533288 539696 567742 648848 944468 1066576 1135484 1888936 2270968 3609217 3777872 4541936 7218434 14436868 25264519 28873736 50529038 57747472 101058076 202116152 404232304