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242318505 = 351113173653
BaseRepresentation
bin11100111000101…
…11110010101001
3121212222001111110
432130113302221
5444013143010
640013420533
76001446642
oct1634276251
9555861443
10242318505
11114867530
126919a749
133b283240
142427a6c9
1516418120
hexe717ca9

242318505 has 64 divisors (see below), whose sum is σ = 458825472. Its totient is φ = 107658240.

The previous prime is 242318497. The next prime is 242318509. The reversal of 242318505 is 505813242.

It is not a de Polignac number, because 242318505 - 23 = 242318497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242318509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370759 + ... + 371411.

It is an arithmetic number, because the mean of its divisors is an integer number (7169148).

Almost surely, 2242318505 is an apocalyptic number.

It is an amenable number.

242318505 is a deficient number, since it is larger than the sum of its proper divisors (216506967).

242318505 is a wasteful number, since it uses less digits than its factorization.

242318505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858.

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 242318505 is about 15566.5829583759. The cubic root of 242318505 is about 623.4412399258.

The spelling of 242318505 in words is "two hundred forty-two million, three hundred eighteen thousand, five hundred five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 173 195 429 519 653 715 865 1903 1959 2145 2249 2595 3265 5709 6747 7183 8489 9515 9795 11245 21549 24739 25467 28545 33735 35915 42445 74217 93379 107745 112969 123695 127335 280137 338907 371085 466895 564845 1242659 1400685 1468597 1694535 3727977 4405791 6213295 7342985 16154567 18639885 22028955 48463701 80772835 242318505