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404127304 = 23723472971
BaseRepresentation
bin11000000101100…
…111111001001000
31001011102210102221
4120011213321020
51311424033204
6104033503424
713005011500
oct3005477110
91034383387
10404127304
11198134909
12b3411b74
13659580a9
143b95aa00
152572b654
hex18167e48

404127304 has 48 divisors (see below), whose sum is σ = 884288880. Its totient is φ = 172640160.

The previous prime is 404127299. The next prime is 404127313. The reversal of 404127304 is 403721404.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 134539 + ... + 137509.

It is an arithmetic number, because the mean of its divisors is an integer number (18422685).

Almost surely, 2404127304 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 404127304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442144440).

404127304 is an abundant number, since it is smaller than the sum of its proper divisors (480161576).

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

404127304 is a wasteful number, since it uses less digits than its factorization.

404127304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 404127304 is about 20102.9177981705. The cubic root of 404127304 is about 739.3318195433.

Adding to 404127304 its reverse (403721404), we get a palindrome (807848708).

The spelling of 404127304 in words is "four hundred four million, one hundred twenty-seven thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 347 392 694 1388 2429 2776 2971 4858 5942 9716 11884 17003 19432 20797 23768 34006 41594 68012 83188 136024 145579 166376 291158 582316 1030937 1164632 2061874 4123748 7216559 8247496 14433118 28866236 50515913 57732472 101031826 202063652 404127304