Search a number
-
+
404401340 = 225759173283
BaseRepresentation
bin11000000110101…
…010110010111100
31001011221201100102
4120012222302330
51312011320330
6104043420232
713010232440
oct3006526274
91034851312
10404401340
11198301792
12b3524678
1365a22a45
143b9cc820
1525782945
hex181aacbc

404401340 has 96 divisors (see below), whose sum is σ = 996226560. Its totient is φ = 135035136.

The previous prime is 404401313. The next prime is 404401343. The reversal of 404401340 is 43104404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404401343) 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, 1428839 + ... + 1429121.

It is an arithmetic number, because the mean of its divisors is an integer number (10377360).

Almost surely, 2404401340 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 404401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498113280).

404401340 is an abundant number, since it is smaller than the sum of its proper divisors (591825220).

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

404401340 is a wasteful number, since it uses less digits than its factorization.

404401340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 404401340 is about 20109.7324696277. The cubic root of 404401340 is about 739.4988937590.

Adding to 404401340 its reverse (43104404), we get a palindrome (447505744).

The spelling of 404401340 in words is "four hundred four million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 173 236 283 295 346 413 566 590 692 826 865 1132 1180 1211 1415 1652 1730 1981 2065 2422 2830 3460 3962 4130 4844 5660 6055 7924 8260 9905 10207 12110 16697 19810 20414 24220 33394 39620 40828 48959 51035 66788 71449 83485 97918 102070 116879 142898 166970 195836 204140 233758 244795 285796 333940 342713 357245 467516 489590 584395 685426 714490 979180 1168790 1370852 1428980 1713565 2337580 2888581 3427130 5777162 6854260 11554324 14442905 20220067 28885810 40440134 57771620 80880268 101100335 202200670 404401340