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242306340 = 223537109147
BaseRepresentation
bin11100111000101…
…00110100100100
3121212221102210220
432130110310210
5444012300330
640013244340
76001366323
oct1634246444
9555842726
10242306340
11114859381
12691936b0
133b27a843
14242760ba
1516414710
hexe714d24

242306340 has 48 divisors (see below), whose sum is σ = 696800832. Its totient is φ = 62868096.

The previous prime is 242306293. The next prime is 242306353. The reversal of 242306340 is 43603242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242306340.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52354 + ... + 56793.

It is an arithmetic number, because the mean of its divisors is an integer number (14516684).

Almost surely, 2242306340 is an apocalyptic number.

242306340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242306340 is an abundant number, since it is smaller than the sum of its proper divisors (454494492).

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

242306340 is a wasteful number, since it uses less digits than its factorization.

242306340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109196 (or 109194 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 242306340 is about 15566.1922126126. The cubic root of 242306340 is about 623.4308069771.

Adding to 242306340 its reverse (43603242), we get a palindrome (285909582).

The spelling of 242306340 in words is "two hundred forty-two million, three hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 109147 218294 327441 436588 545735 654882 1091470 1309764 1637205 2182940 3274410 4038439 6548820 8076878 12115317 16153756 20192195 24230634 40384390 48461268 60576585 80768780 121153170 242306340