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1800000324 = 22321714512027
BaseRepresentation
bin110101101001001…
…1101001101000100
311122110000111020200
41223102131031010
512141300002244
6454340130500
762414515233
oct15322351504
94573014220
101800000324
11844064981
12422996a30
13228bc0265
141310b6b1a
15a8058669
hex6b49d344

1800000324 has 72 divisors (see below), whose sum is σ = 4823346528. Its totient is φ = 564038400.

The previous prime is 1800000317. The next prime is 1800000329. The reversal of 1800000324 is 4230000081.

It is a happy number.

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

1800000324 is a modest number, since divided by 324 gives 180 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1800000297 and 1800000306.

It is not an unprimeable number, because it can be changed into a prime (1800000329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886999 + ... + 889025.

It is an arithmetic number, because the mean of its divisors is an integer number (66990924).

Almost surely, 21800000324 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 1800000324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411673264).

1800000324 is an abundant number, since it is smaller than the sum of its proper divisors (3023346204).

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

1800000324 is a wasteful number, since it uses less digits than its factorization.

1800000324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1800000324 is about 42426.4106895693. The cubic root of 1800000324 is about 1216.4404721011.

The spelling of 1800000324 in words is "one billion, eight hundred million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1451 2027 2902 4054 4353 5804 6081 8108 8706 12162 13059 17412 18243 24324 24667 26118 34459 36486 49334 52236 68918 72972 74001 98668 103377 137836 148002 206754 222003 296004 310131 413508 444006 620262 888012 1240524 2941177 5882354 8823531 11764708 17647062 26470593 35294124 50000009 52941186 100000018 105882372 150000027 200000036 300000054 450000081 600000108 900000162 1800000324