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242065329 = 31117312449
BaseRepresentation
bin11100110110110…
…01111110110001
3121212111012012120
432123121332301
5443432042304
640004144453
75666343552
oct1633317661
9555435176
10242065329
111147042a0
1269098129
133b1c4c2c
1424212329
15163b80d9
hexe6d9fb1

242065329 has 48 divisors (see below), whose sum is σ = 386078400. Its totient is φ = 133324800.

The previous prime is 242065289. The next prime is 242065333. The reversal of 242065329 is 923560242.

It is not a de Polignac number, because 242065329 - 29 = 242064817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 242065329.

It is not an unprimeable number, because it can be changed into a prime (242065379) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538897 + ... + 539345.

It is an arithmetic number, because the mean of its divisors is an integer number (8043300).

Almost surely, 2242065329 is an apocalyptic number.

It is an amenable number.

242065329 is a deficient number, since it is larger than the sum of its proper divisors (144013071).

242065329 is a wasteful number, since it uses less digits than its factorization.

242065329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 242065329 is about 15558.4487980004. The cubic root of 242065329 is about 623.2240390670.

The spelling of 242065329 in words is "two hundred forty-two million, sixty-five thousand, three hundred twenty-nine".

Divisors: 1 3 11 17 31 33 51 93 187 341 449 527 561 961 1023 1347 1581 2883 4939 5797 7633 10571 13919 14817 16337 17391 22899 31713 41757 49011 83963 153109 179707 236623 251889 431489 459327 539121 709869 1294467 2602853 4746379 7335313 7808559 14239137 22005939 80688443 242065329