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242363660 = 225711337467
BaseRepresentation
bin11100111001000…
…10110100001100
3121220001100102212
432130202310030
5444021114120
640014405552
76002025410
oct1634426414
9556040385
10242363660
11114898450
12692008b8
133b29a966
142428cd40
15164266c5
hexe722d0c

242363660 has 96 divisors (see below), whose sum is σ = 637797888. Its totient is φ = 75156480.

The previous prime is 242363659. The next prime is 242363663. The reversal of 242363660 is 66363242.

242363660 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 (242363663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518747 + ... + 519213.

It is an arithmetic number, because the mean of its divisors is an integer number (6643728).

Almost surely, 2242363660 is an apocalyptic number.

242363660 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 242363660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318898944).

242363660 is an abundant number, since it is smaller than the sum of its proper divisors (395434228).

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

242363660 is a wasteful number, since it uses less digits than its factorization.

242363660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 242363660 is about 15568.0332733457. The cubic root of 242363660 is about 623.4799627089.

The spelling of 242363660 in words is "two hundred forty-two million, three hundred sixty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 337 385 467 674 770 934 1348 1540 1685 1868 2335 2359 3269 3370 3707 4670 4718 5137 6538 6740 7414 9340 9436 10274 11795 13076 14828 16345 18535 20548 23590 25685 25949 32690 35959 37070 47180 51370 51898 65380 71918 74140 102740 103796 129745 143836 157379 179795 259490 314758 359590 518980 629516 719180 786895 1101653 1573790 1731169 2203306 3147580 3462338 4406612 5508265 6924676 8655845 11016530 12118183 17311690 22033060 24236366 34623380 48472732 60590915 121181830 242363660