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243420000 = 253544057
BaseRepresentation
bin11101000001001…
…00101101100000
3121222001000110120
432200210231200
5444303420000
640053200240
76014015205
oct1640445540
9558030416
10243420000
1111544a05a
1269630080
133b57a705
1424485cac
15165846a0
hexe824b60

243420000 has 120 divisors (see below), whose sum is σ = 798663096. Its totient is φ = 64896000.

The previous prime is 243419989. The next prime is 243420041. The reversal of 243420000 is 24342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 57972 + ... + 62028.

Almost surely, 2243420000 is an apocalyptic number.

243420000 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 243420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399331548).

243420000 is an abundant number, since it is smaller than the sum of its proper divisors (555243096).

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

243420000 is an equidigital number, since it uses as much as digits as its factorization.

243420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 243420000 is about 15601.9229584048. The cubic root of 243420000 is about 624.3844606438.

Adding to 243420000 its reverse (24342), we get a palindrome (243444342).

Multiplying 243420000 by its reverse (24342), we get a square (5925329640000 = 24342002).

243420000 divided by its reverse (24342) gives a 4-th power (10000 = 104).

The spelling of 243420000 in words is "two hundred forty-three million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 4057 5000 6000 7500 8114 10000 12000 12171 15000 16228 20000 20285 24342 30000 32456 40570 48684 60000 60855 64912 81140 97368 101425 121710 129824 162280 194736 202850 243420 304275 324560 389472 405700 486840 507125 608550 649120 811400 973680 1014250 1217100 1521375 1622800 1947360 2028500 2434200 2535625 3042750 3245600 4057000 4868400 5071250 6085500 7606875 8114000 9736800 10142500 12171000 15213750 16228000 20285000 24342000 30427500 40570000 48684000 60855000 81140000 121710000 243420000