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243996000 = 2535320333
BaseRepresentation
bin11101000101100…
…01010101100000
3122000010021120220
432202301111200
5444430333000
640113403040
76021634413
oct1642612540
9560107526
10243996000
11115802896
1269869480
133b71c941
1424595b7a
151664a1a0
hexe8b1560

243996000 has 96 divisors (see below), whose sum is σ = 799370208. Its totient is φ = 65062400.

The previous prime is 243995989. The next prime is 243996001. The reversal of 243996000 is 699342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243996001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1834 + ... + 22166.

It is an arithmetic number, because the mean of its divisors is an integer number (8326773).

Almost surely, 2243996000 is an apocalyptic number.

243996000 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 243996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399685104).

243996000 is an abundant number, since it is smaller than the sum of its proper divisors (555374208).

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

243996000 is a wasteful number, since it uses less digits than its factorization.

243996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20361 (or 20343 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 243996000 is about 15620.3713144086. The cubic root of 243996000 is about 624.8765622893.

The spelling of 243996000 in words is "two hundred forty-three million, nine hundred ninety-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 20333 40666 60999 81332 101665 121998 162664 203330 243996 304995 325328 406660 487992 508325 609990 650656 813320 975984 1016650 1219980 1524975 1626640 1951968 2033300 2439960 2541625 3049950 3253280 4066600 4879920 5083250 6099900 7624875 8133200 9759840 10166500 12199800 15249750 16266400 20333000 24399600 30499500 40666000 48799200 60999000 81332000 121998000 243996000