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243234540 = 2232573107173
BaseRepresentation
bin11100111111101…
…11011011101100
3121221200121001200
432133313123230
5444232001130
640045205500
76012313413
oct1637673354
9557617050
10243234540
1111533278a
1269560890
133b514183
142443847a
1516549760
hexe7f76ec

243234540 has 144 divisors (see below), whose sum is σ = 759271968. Its totient is φ = 63009792.

The previous prime is 243234539. The next prime is 243234547. The reversal of 243234540 is 45432342.

243234540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243234547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1405894 + ... + 1406066.

It is an arithmetic number, because the mean of its divisors is an integer number (5272722).

Almost surely, 2243234540 is an apocalyptic number.

243234540 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 243234540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379635984).

243234540 is an abundant number, since it is smaller than the sum of its proper divisors (516037428).

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

243234540 is a wasteful number, since it uses less digits than its factorization.

243234540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 243234540 is about 15595.9783277613. The cubic root of 243234540 is about 624.2258489669.

Adding to 243234540 its reverse (45432342), we get a palindrome (288666882).

The spelling of 243234540 in words is "two hundred forty-three million, two hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 107 146 173 180 214 219 292 321 346 365 428 438 519 535 642 657 692 730 865 876 963 1038 1070 1095 1284 1314 1460 1557 1605 1730 1926 2076 2140 2190 2595 2628 3114 3210 3285 3460 3852 4380 4815 5190 6228 6420 6570 7785 7811 9630 10380 12629 13140 15570 15622 18511 19260 23433 25258 31140 31244 37022 37887 39055 46866 50516 55533 63145 70299 74044 75774 78110 92555 93732 111066 113661 117165 126290 140598 151548 156220 166599 185110 189435 222132 227322 234330 252580 277665 281196 333198 351495 370220 378870 454644 468660 555330 568305 666396 702990 757740 832995 1110660 1136610 1351303 1405980 1665990 2273220 2702606 3331980 4053909 5405212 6756515 8107818 12161727 13513030 16215636 20269545 24323454 27026060 40539090 48646908 60808635 81078180 121617270 243234540