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204000300 = 223252732381
BaseRepresentation
bin11000010100011…
…00110000101100
3112012212021210200
430022030300230
5404211002200
632124233500
75024655030
oct1412146054
9465767720
10204000300
11a5175499
125839b890
133335804a
141d1441c0
1512d99800
hexc28cc2c

204000300 has 108 divisors (see below), whose sum is σ = 730796976. Its totient is φ = 46627200.

The previous prime is 204000281. The next prime is 204000301. The reversal of 204000300 is 3000402.

It is a super-2 number, since 2×2040003002 = 83232244800180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (204000301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9891 + ... + 22490.

Almost surely, 2204000300 is an apocalyptic number.

204000300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204000300 is an abundant number, since it is smaller than the sum of its proper divisors (526796676).

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

204000300 is a wasteful number, since it uses less digits than its factorization.

204000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32408 (or 32398 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 204000300 is about 14282.8673591825. The cubic root of 204000300 is about 588.6768202551.

Adding to 204000300 its reverse (3000402), we get a palindrome (207000702).

The spelling of 204000300 in words is "two hundred four million, three hundred", and thus it is an aban number.

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 32381 64762 97143 129524 161905 194286 226667 291429 323810 388572 453334 485715 582858 647620 680001 809525 906668 971430 1133335 1165716 1360002 1457145 1619050 1942860 2040003 2266670 2428575 2720004 2914290 3238100 3400005 4080006 4533340 4857150 5666675 5828580 6800010 7285725 8160012 9714300 10200015 11333350 13600020 14571450 17000025 20400030 22666700 29142900 34000050 40800060 51000075 68000100 102000150 204000300