Search a number
-
+
404048034 = 233131930293
BaseRepresentation
bin11000000101010…
…100100010100010
31001011021202201000
4120011110202202
51311414014114
6104032052430
713004231415
oct3005244242
91034252630
10404048034
111980902a5
12b3394116
136592aca0
143b939b7c
1525712e09
hex181548a2

404048034 has 64 divisors (see below), whose sum is σ = 1017878400. Its totient is φ = 117775296.

The previous prime is 404048033. The next prime is 404048041. The reversal of 404048034 is 430840404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 404047989 and 404048007.

It is not an unprimeable number, because it can be changed into a prime (404048033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1809 + ... + 28484.

It is an arithmetic number, because the mean of its divisors is an integer number (15904350).

Almost surely, 2404048034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404048034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508939200).

404048034 is an abundant number, since it is smaller than the sum of its proper divisors (613830366).

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

404048034 is a wasteful number, since it uses less digits than its factorization.

404048034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30336 (or 30330 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 404048034 is about 20100.9460971368. The cubic root of 404048034 is about 739.2834761417.

Adding to 404048034 its reverse (430840404), we get a palindrome (834888438).

The spelling of 404048034 in words is "four hundred four million, forty-eight thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 30293 60586 90879 181758 272637 393809 545274 575567 787618 817911 1151134 1181427 1635822 1726701 2362854 3453402 3544281 5180103 7088562 7482371 10360206 10632843 14964742 15540309 21265686 22447113 31080618 44894226 67341339 134682678 202024017 404048034