Search a number
-
+
394639104 = 2834183151
BaseRepresentation
bin10111100001011…
…011011100000000
31000111120202002010
4113201123130000
51302011422404
6103054252520
712531243216
oct2741333400
91014522063
10394639104
11192844222
12b01b7140
13639b5482
143a5aacb6
15249a5189
hex1785b700

394639104 has 144 divisors (see below), whose sum is σ = 1096107264. Its totient is φ = 125952000.

The previous prime is 394639103. The next prime is 394639109. The reversal of 394639104 is 401936493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394639103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2613429 + ... + 2613579.

It is an arithmetic number, because the mean of its divisors is an integer number (7611856).

Almost surely, 2394639104 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 394639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548053632).

394639104 is an abundant number, since it is smaller than the sum of its proper divisors (701468160).

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

394639104 is a wasteful number, since it uses less digits than its factorization.

394639104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 394639104 is about 19865.5255153243. The cubic root of 394639104 is about 733.4998659442.

The spelling of 394639104 in words is "three hundred ninety-four million, six hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 83 96 123 128 151 164 166 192 246 249 256 302 328 332 384 453 492 498 604 656 664 768 906 984 996 1208 1312 1328 1812 1968 1992 2416 2624 2656 3403 3624 3936 3984 4832 5248 5312 6191 6806 7248 7872 7968 9664 10209 10496 10624 12382 12533 13612 14496 15744 15936 18573 19328 20418 21248 24764 25066 27224 28992 31488 31872 37146 37599 38656 40836 49528 50132 54448 57984 63744 74292 75198 81672 99056 100264 108896 115968 148584 150396 163344 198112 200528 217792 297168 300792 326688 396224 401056 435584 513853 594336 601584 653376 792448 802112 871168 1027706 1188672 1203168 1306752 1541559 1584896 1604224 2055412 2377344 2406336 2613504 3083118 3208448 4110824 4754688 4812672 6166236 8221648 9625344 12332472 16443296 24664944 32886592 49329888 65773184 98659776 131546368 197319552 394639104