Search a number
-
+
163304000 = 2653137149
BaseRepresentation
bin10011011101111…
…01001001000000
3102101021200222022
421232331021000
5313301212000
624112101012
74022026646
oct1156751100
9371250868
10163304000
11841a9792
1246834768
1327aa95b2
141798d196
15e50b585
hex9bbd240

163304000 has 112 divisors (see below), whose sum is σ = 410108400. Its totient is φ = 64409600.

The previous prime is 163303957. The next prime is 163304039. The reversal of 163304000 is 403361.

It can be written as a sum of positive squares in 8 ways, for example, as 80712256 + 82591744 = 8984^2 + 9088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 163304000.

It is an unprimeable number.

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, 1095926 + ... + 1096074.

Almost surely, 2163304000 is an apocalyptic number.

163304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205054200).

163304000 is an abundant number, since it is smaller than the sum of its proper divisors (246804400).

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

163304000 is a wasteful number, since it uses less digits than its factorization.

163304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 163304000 is about 12779.0453477558. The cubic root of 163304000 is about 546.5949406854.

Adding to 163304000 its reverse (403361), we get a palindrome (163707361).

The spelling of 163304000 in words is "one hundred sixty-three million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 137 149 160 200 250 274 298 320 400 500 548 596 685 745 800 1000 1096 1192 1370 1490 1600 2000 2192 2384 2740 2980 3425 3725 4000 4384 4768 5480 5960 6850 7450 8000 8768 9536 10960 11920 13700 14900 17125 18625 20413 21920 23840 27400 29800 34250 37250 40826 43840 47680 54800 59600 68500 74500 81652 102065 109600 119200 137000 149000 163304 204130 219200 238400 274000 298000 326608 408260 510325 548000 596000 653216 816520 1020650 1096000 1192000 1306432 1633040 2041300 2551625 3266080 4082600 5103250 6532160 8165200 10206500 16330400 20413000 32660800 40826000 81652000 163304000