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243302319 = 3313693169
BaseRepresentation
bin11101000000001…
…11111110101111
3121221211001001000
432200013332233
5444241133234
640050451343
76013015131
oct1640077657
9557731030
10243302319
111153796a7
1269593b53
133b538c90
1424455051
151655e899
hexe807faf

243302319 has 16 divisors (see below), whose sum is σ = 388175200. Its totient is φ = 149724288.

The previous prime is 243302309. The next prime is 243302363. The reversal of 243302319 is 913203342.

It is a happy number.

243302319 is a `hidden beast` number, since 2 + 43 + 302 + 319 = 666.

It is not a de Polignac number, because 243302319 - 216 = 243236783 is a prime.

It is a super-2 number, since 2×2433023192 = 118392036861555522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 243302292 and 243302301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243302309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346234 + ... + 346935.

It is an arithmetic number, because the mean of its divisors is an integer number (24260950).

Almost surely, 2243302319 is an apocalyptic number.

243302319 is a deficient number, since it is larger than the sum of its proper divisors (144872881).

243302319 is a wasteful number, since it uses less digits than its factorization.

243302319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693191 (or 693185 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 243302319 is about 15598.1511404397. The cubic root of 243302319 is about 624.2838252100.

The spelling of 243302319 in words is "two hundred forty-three million, three hundred two thousand, three hundred nineteen".

Divisors: 1 3 9 13 27 39 117 351 693169 2079507 6238521 9011197 18715563 27033591 81100773 243302319