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243121320 = 233251351949
BaseRepresentation
bin11100111110110…
…11110010101000
3121221110211202100
432133123302220
5444214340240
640042533400
76011332341
oct1637336250
9557424670
10243121320
11115265712
1269507260
133b4a4790
14244090c8
1516525e30
hexe7dbca8

243121320 has 96 divisors (see below), whose sum is σ = 850941000. Its totient is φ = 59844096.

The previous prime is 243121309. The next prime is 243121327. The reversal of 243121320 is 23121342.

243121320 is a `hidden beast` number, since 2 + 431 + 213 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115476516 + 127644804 = 10746^2 + 11298^2 .

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 = 243121293 and 243121302.

It is not an unprimeable number, because it can be changed into a prime (243121327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21295 + ... + 30654.

Almost surely, 2243121320 is an apocalyptic number.

243121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243121320 is an abundant number, since it is smaller than the sum of its proper divisors (607819680).

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

243121320 is a wasteful number, since it uses less digits than its factorization.

243121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51979 (or 51972 counting only the distinct ones).

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

The square root of 243121320 is about 15592.3481233585. The cubic root of 243121320 is about 624.1289797485.

Adding to 243121320 its reverse (23121342), we get a palindrome (266242662).

The spelling of 243121320 in words is "two hundred forty-three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 51949 103898 155847 207796 259745 311694 415592 467541 519490 623388 675337 779235 935082 1038980 1246776 1350674 1558470 1870164 2026011 2077960 2337705 2701348 3116940 3376685 3740328 4052022 4675410 5402696 6078033 6233880 6753370 8104044 9350820 10130055 12156066 13506740 16208088 18701640 20260110 24312132 27013480 30390165 40520220 48624264 60780330 81040440 121560660 243121320