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243213120 = 2632584449
BaseRepresentation
bin11100111111100…
…10001101000000
3121221122111200100
432133302031000
5444230304440
640044522400
76012164103
oct1637621500
9557574610
10243213120
11115318687
1269550400
133b5074b7
142443073a
1516543230
hexe7f2340

243213120 has 84 divisors (see below), whose sum is σ = 836561700. Its totient is φ = 64856064.

The previous prime is 243213119. The next prime is 243213121. The reversal of 243213120 is 21312342.

243213120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243213119) and next prime (243213121).

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 195105024 = 6936^2 + 13968^2 .

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 = 243213093 and 243213102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243213121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39345 + ... + 45104.

Almost surely, 2243213120 is an apocalyptic number.

243213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243213120 is an abundant number, since it is smaller than the sum of its proper divisors (593348580).

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

243213120 is a wasteful number, since it uses less digits than its factorization.

243213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84472 (or 84459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 243213120 is about 15595.2915971456. The cubic root of 243213120 is about 624.2075246639.

Adding to 243213120 its reverse (21312342), we get a palindrome (264525462).

The spelling of 243213120 in words is "two hundred forty-three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 84449 168898 253347 337796 422245 506694 675592 760041 844490 1013388 1266735 1351184 1520082 1688980 2026776 2533470 2702368 3040164 3377960 3800205 4053552 5066940 5404736 6080328 6755920 7600410 8107104 10133880 12160656 13511840 15200820 16214208 20267760 24321312 27023680 30401640 40535520 48642624 60803280 81071040 121606560 243213120