Search a number
-
+
383804388 = 2232117091367
BaseRepresentation
bin10110111000000…
…110001111100100
3222202012021122100
4112320012033210
51241223220023
6102030132100
712340166142
oct2670061744
9882167570
10383804388
11187713a10
12a8651030
13616909b6
1438d8a592
1523a64c43
hex16e063e4

383804388 has 72 divisors (see below), whose sum is σ = 1060637760. Its totient is φ = 116055360.

The previous prime is 383804297. The next prime is 383804411. The reversal of 383804388 is 883408383.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280081 + ... + 281447.

It is an arithmetic number, because the mean of its divisors is an integer number (14731080).

Almost surely, 2383804388 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 383804388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530318880).

383804388 is an abundant number, since it is smaller than the sum of its proper divisors (676833372).

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

383804388 is a wasteful number, since it uses less digits than its factorization.

383804388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 383804388 is about 19590.9261649367. The cubic root of 383804388 is about 726.7247958250.

The spelling of 383804388 in words is "three hundred eighty-three million, eight hundred four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 709 1367 1418 2127 2734 2836 4101 4254 5468 6381 7799 8202 8508 12303 12762 15037 15598 16404 23397 24606 25524 30074 31196 45111 46794 49212 60148 70191 90222 93588 135333 140382 180444 270666 280764 541332 969203 1938406 2907609 3876812 5815218 8722827 10661233 11630436 17445654 21322466 31983699 34891308 42644932 63967398 95951097 127934796 191902194 383804388