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243427968 = 2732730187
BaseRepresentation
bin11101000001001…
…10101010000000
3121222001102101200
432200212222000
5444304143333
640053301200
76014050350
oct1640465200
9558042350
10243427968
11115455043
1269634800
133b581224
1424488b60
1516586c13
hexe826a80

243427968 has 96 divisors (see below), whose sum is σ = 800585760. Its totient is φ = 69548544.

The previous prime is 243427967. The next prime is 243427979. The reversal of 243427968 is 869724342.

243427968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (243427967) 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, 7030 + ... + 23157.

It is an arithmetic number, because the mean of its divisors is an integer number (8339435).

Almost surely, 2243427968 is an apocalyptic number.

243427968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

243427968 is an abundant number, since it is smaller than the sum of its proper divisors (557157792).

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

243427968 is a wasteful number, since it uses less digits than its factorization.

243427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30214 (or 30199 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 243427968 is about 15602.1783094541. The cubic root of 243427968 is about 624.3912733421.

The spelling of 243427968 in words is "two hundred forty-three million, four hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 30187 60374 90561 120748 181122 211309 241496 271683 362244 422618 482992 543366 633927 724488 845236 965984 1086732 1267854 1448976 1690472 1901781 1931968 2173464 2535708 2897952 3380944 3803562 3863936 4346928 5071416 5795904 6761888 7607124 8693856 10142832 11591808 13523776 15214248 17387712 20285664 27047552 30428496 34775424 40571328 60856992 81142656 121713984 243427968