Search a number
-
+
164336304 = 24311547569
BaseRepresentation
bin10011100101110…
…01001010110000
3102110020011000210
421302321022300
5314032230204
624150144120
74033556406
oct1162711260
9373204023
10164336304
1184844330
1247052040
132807b422
1417b7b476
15e662389
hex9cb92b0

164336304 has 80 divisors (see below), whose sum is σ = 464791680. Its totient is φ = 49620480.

The previous prime is 164336303. The next prime is 164336317. The reversal of 164336304 is 403633461.

It is not an unprimeable number, because it can be changed into a prime (164336303) 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, 288532 + ... + 289100.

It is an arithmetic number, because the mean of its divisors is an integer number (5809896).

Almost surely, 2164336304 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 164336304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232395840).

164336304 is an abundant number, since it is smaller than the sum of its proper divisors (300455376).

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

164336304 is a wasteful number, since it uses less digits than its factorization.

164336304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 164336304 is about 12819.3722155182. The cubic root of 164336304 is about 547.7442641432.

Adding to 164336304 its reverse (403633461), we get a palindrome (567969765).

The spelling of 164336304 in words is "one hundred sixty-four million, three hundred thirty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 547 569 1094 1138 1641 1707 2188 2276 3282 3414 4376 4552 6017 6259 6564 6828 8752 9104 12034 12518 13128 13656 18051 18777 24068 25036 26256 27312 36102 37554 48136 50072 72204 75108 96272 100144 144408 150216 288816 300432 311243 622486 933729 1244972 1867458 2489944 3423673 3734916 4979888 6847346 7469832 10271019 13694692 14939664 20542038 27389384 41084076 54778768 82168152 164336304