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204313320 = 233351391361
BaseRepresentation
bin11000010110110…
…01001011101000
3112020110012012000
430023121023220
5404301011240
632135051000
75030430441
oct1413311350
9466405160
10204313320
11a5369692
1258510a60
1333437673
141d1c62c8
1512e0c430
hexc2d92e8

204313320 has 128 divisors (see below), whose sum is σ = 686448000. Its totient is φ = 54051840.

The previous prime is 204313313. The next prime is 204313321. The reversal of 204313320 is 23313402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204313293 and 204313302.

It is not an unprimeable number, because it can be changed into a prime (204313321) 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 31 ways as a sum of consecutive naturals, for example, 149440 + ... + 150800.

It is an arithmetic number, because the mean of its divisors is an integer number (5362875).

Almost surely, 2204313320 is an apocalyptic number.

204313320 is a gapful number since it is divisible by the number (20) 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 204313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343224000).

204313320 is an abundant number, since it is smaller than the sum of its proper divisors (482134680).

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

204313320 is a wasteful number, since it uses less digits than its factorization.

204313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 204313320 is about 14293.8210426743. The cubic root of 204313320 is about 588.9777568243.

Adding to 204313320 its reverse (23313402), we get a palindrome (227626722).

The spelling of 204313320 in words is "two hundred four million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 139 180 216 270 278 360 417 540 556 695 834 1080 1112 1251 1361 1390 1668 2085 2502 2722 2780 3336 3753 4083 4170 5004 5444 5560 6255 6805 7506 8166 8340 10008 10888 12249 12510 13610 15012 16332 16680 18765 20415 24498 25020 27220 30024 32664 36747 37530 40830 48996 50040 54440 61245 73494 75060 81660 97992 122490 146988 150120 163320 183735 189179 244980 293976 367470 378358 489960 567537 734940 756716 945895 1135074 1469880 1513432 1702611 1891790 2270148 2837685 3405222 3783580 4540296 5107833 5675370 6810444 7567160 8513055 10215666 11350740 13620888 17026110 20431332 22701480 25539165 34052220 40862664 51078330 68104440 102156660 204313320