[go: up one dir, main page]

Search a number
-
+
204378300 = 223252732441
BaseRepresentation
bin11000010111010…
…01000010111100
3112020120111022200
430023221002330
5404310101200
632140311500
75031121050
oct1413510274
9466514280
10204378300
11a5403495
1258542590
133345b109
141d201c60
1512e21800
hexc2e90bc

204378300 has 108 divisors (see below), whose sum is σ = 732151056. Its totient is φ = 46713600.

The previous prime is 204378281. The next prime is 204378311. The reversal of 204378300 is 3873402.

204378300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 9921 + ... + 22520.

Almost surely, 2204378300 is an apocalyptic number.

204378300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204378300 is an abundant number, since it is smaller than the sum of its proper divisors (527772756).

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

204378300 is a wasteful number, since it uses less digits than its factorization.

204378300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32468 (or 32458 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 204378300 is about 14296.0938721037. The cubic root of 204378300 is about 589.0401898855.

The spelling of 204378300 in words is "two hundred four million, three hundred seventy-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 32441 64882 97323 129764 162205 194646 227087 291969 324410 389292 454174 486615 583938 648820 681261 811025 908348 973230 1135435 1167876 1362522 1459845 1622050 1946460 2043783 2270870 2433075 2725044 2919690 3244100 3406305 4087566 4541740 4866150 5677175 5839380 6812610 7299225 8175132 9732300 10218915 11354350 13625220 14598450 17031525 20437830 22708700 29196900 34063050 40875660 51094575 68126100 102189150 204378300