Search a number
-
+
204341466 = 237219157233
BaseRepresentation
bin11000010111000…
…00000011011010
3112020111121210110
430023200003122
5404302411331
632135425150
75030605500
oct1413400332
9466447713
10204341466
11a538884a
12585251b6
1333447414
141d1d2670
1512e15946
hexc2e00da

204341466 has 96 divisors (see below), whose sum is σ = 505776960. Its totient is φ = 54722304.

The previous prime is 204341443. The next prime is 204341507. The reversal of 204341466 is 664143402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876886 + ... + 877118.

It is an arithmetic number, because the mean of its divisors is an integer number (5268510).

Almost surely, 2204341466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204341466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252888480).

204341466 is an abundant number, since it is smaller than the sum of its proper divisors (301435494).

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

204341466 is a wasteful number, since it uses less digits than its factorization.

204341466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 204341466 is about 14294.8055600627. The cubic root of 204341466 is about 589.0048012461.

Adding to 204341466 its reverse (664143402), we get a palindrome (868484868).

The spelling of 204341466 in words is "two hundred four million, three hundred forty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 157 233 266 294 314 399 466 471 699 798 931 942 1099 1398 1631 1862 2198 2793 2983 3262 3297 4427 4893 5586 5966 6594 7693 8854 8949 9786 11417 13281 15386 17898 20881 22834 23079 26562 30989 34251 36581 41762 46158 61978 62643 68502 73162 92967 109743 125286 146167 185934 216923 219486 256067 292334 433846 438501 512134 650769 695039 768201 877002 1301538 1390078 1536402 1792469 2085117 3584938 4170234 4865273 5377407 9730546 10754814 14595819 29191638 34056911 68113822 102170733 204341466