Search a number
-
+
368990208 = 211336673
BaseRepresentation
bin10101111111100…
…101100000000000
3221201022122102000
4111333211200000
51223430141313
6100340424000
712100236126
oct2577454000
9851278360
10368990208
1117a315894
12a36a8000
135b5a4b02
1437011916
15225da673
hex15fe5800

368990208 has 96 divisors (see below), whose sum is σ = 1093201200. Its totient is φ = 122978304.

The previous prime is 368990207. The next prime is 368990213. The reversal of 368990208 is 802099863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368990207) 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 7 ways as a sum of consecutive naturals, for example, 51960 + ... + 58632.

Almost surely, 2368990208 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 368990208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546600600).

368990208 is an abundant number, since it is smaller than the sum of its proper divisors (724210992).

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

368990208 is an equidigital number, since it uses as much as digits as its factorization.

368990208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 368990208 is about 19209.1178350282. The cubic root of 368990208 is about 717.2517454259.

The spelling of 368990208 in words is "three hundred sixty-eight million, nine hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6673 6912 9216 13346 13824 18432 20019 26692 27648 40038 53384 55296 60057 80076 106768 120114 160152 180171 213536 240228 320304 360342 427072 480456 640608 720684 854144 960912 1281216 1441368 1708288 1921824 2562432 2882736 3416576 3843648 5124864 5765472 6833152 7687296 10249728 11530944 13666304 15374592 20499456 23061888 30749184 40998912 46123776 61498368 92247552 122996736 184495104 368990208