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242304240 = 24351009601
BaseRepresentation
bin11100111000101…
…00010011110000
3121212221022221010
432130110103300
5444012213430
640013230520
76001360233
oct1634242360
9555838833
10242304240
11114857842
1269192440
133b2798b9
142427541a
1516413cb0
hexe7144f0

242304240 has 40 divisors (see below), whose sum is σ = 751143888. Its totient is φ = 64614400.

The previous prime is 242304239. The next prime is 242304253. The reversal of 242304240 is 42403242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2423042402 = 117422689443955200, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 504561 + ... + 505040.

Almost surely, 2242304240 is an apocalyptic number.

242304240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242304240 is an abundant number, since it is smaller than the sum of its proper divisors (508839648).

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

242304240 is a wasteful number, since it uses less digits than its factorization.

242304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009617 (or 1009611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242304240 is about 15566.1247585904. The cubic root of 242304240 is about 623.4290059395.

Adding to 242304240 its reverse (42403242), we get a palindrome (284707482).

The spelling of 242304240 in words is "two hundred forty-two million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1009601 2019202 3028803 4038404 5048005 6057606 8076808 10096010 12115212 15144015 16153616 20192020 24230424 30288030 40384040 48460848 60576060 80768080 121152120 242304240