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242243712 = 2732439479
BaseRepresentation
bin11100111000001…
…01100010000000
3121212211020220100
432130011202000
5444003244322
640012042400
76001015614
oct1634054200
9555736810
10242243712
11114816317
1269163400
133b258199
142425b344
1516400dac
hexe705880

242243712 has 96 divisors (see below), whose sum is σ = 700128000. Its totient is φ = 80395776.

The previous prime is 242243707. The next prime is 242243723. The reversal of 242243712 is 217342242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505489 + ... + 505967.

It is an arithmetic number, because the mean of its divisors is an integer number (7293000).

Almost surely, 2242243712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350064000).

242243712 is an abundant number, since it is smaller than the sum of its proper divisors (457884288).

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

242243712 is a wasteful number, since it uses less digits than its factorization.

242243712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 923 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 242243712 is about 15564.1804152997. The cubic root of 242243712 is about 623.3770904174.

Adding to 242243712 its reverse (217342242), we get a palindrome (459585954).

The spelling of 242243712 in words is "two hundred forty-two million, two hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 439 479 576 878 958 1152 1317 1437 1756 1916 2634 2874 3512 3832 3951 4311 5268 5748 7024 7664 7902 8622 10536 11496 14048 15328 15804 17244 21072 22992 28096 30656 31608 34488 42144 45984 56192 61312 63216 68976 84288 91968 126432 137952 168576 183936 210281 252864 275904 420562 505728 551808 630843 841124 1261686 1682248 1892529 2523372 3364496 3785058 5046744 6728992 7570116 10093488 13457984 15140232 20186976 26915968 30280464 40373952 60560928 80747904 121121856 242243712