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243412020 = 223351014463
BaseRepresentation
bin11101000001000…
…10110000110100
3121222000121112000
432200202300310
5444303141040
640053055300
76013653015
oct1640426064
9558017460
10243412020
11115444065
1269627530
133b576ba7
142448300c
1516582130
hexe822c34

243412020 has 96 divisors (see below), whose sum is σ = 764951040. Its totient is φ = 64252800.

The previous prime is 243412009. The next prime is 243412027. The reversal of 243412020 is 20214342.

243412020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2434120202 = 118498822960960800, which contains 22 as substring.

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 = 243411984 and 243412002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243412027) 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 31 ways as a sum of consecutive naturals, for example, 52309 + ... + 56771.

It is an arithmetic number, because the mean of its divisors is an integer number (7968240).

Almost surely, 2243412020 is an apocalyptic number.

243412020 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 243412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382475520).

243412020 is an abundant number, since it is smaller than the sum of its proper divisors (521539020).

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

243412020 is a wasteful number, since it uses less digits than its factorization.

243412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 243412020 is about 15601.6672186020. The cubic root of 243412020 is about 624.3776375363.

Adding to 243412020 its reverse (20214342), we get a palindrome (263626362).

The spelling of 243412020 in words is "two hundred forty-three million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4463 4545 5454 6060 8926 9090 10908 13389 13635 17852 18180 22315 26778 27270 40167 44630 53556 54540 66945 80334 89260 120501 133890 160668 200835 241002 267780 401670 450763 482004 602505 803340 901526 1205010 1352289 1803052 2253815 2410020 2704578 4056867 4507630 5409156 6761445 8113734 9015260 12170601 13522890 16227468 20284335 24341202 27045780 40568670 48682404 60853005 81137340 121706010 243412020