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242444304 = 24323154311
BaseRepresentation
bin11100111001101…
…10100000010000
3121220012110001200
432130312200100
5444031204204
640020231200
76002512464
oct1634664020
9556173050
10242444304
11114942aa3
126923b500
133b2c858b
14242b04a4
1516440539
hexe736810

242444304 has 60 divisors (see below), whose sum is σ = 700407552. Its totient is φ = 78206400.

The previous prime is 242444299. The next prime is 242444309. The reversal of 242444304 is 403444242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242444299) and next prime (242444309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242444309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22692 + ... + 31619.

Almost surely, 2242444304 is an apocalyptic number.

242444304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242444304 is an abundant number, since it is smaller than the sum of its proper divisors (457963248).

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

242444304 is a wasteful number, since it uses less digits than its factorization.

242444304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54356 (or 54347 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 242444304 is about 15570.6231089189. The cubic root of 242444304 is about 623.5491072091.

Adding to 242444304 its reverse (403444242), we get a palindrome (645888546).

The spelling of 242444304 in words is "two hundred forty-two million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 54311 108622 162933 217244 325866 434488 488799 651732 868976 977598 1303464 1683641 1955196 2606928 3367282 3910392 5050923 6734564 7820784 10101846 13469128 15152769 20203692 26938256 30305538 40407384 60611076 80814768 121222152 242444304