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242442024 = 23311918341
BaseRepresentation
bin11100111001101…
…01111100101000
3121220012022221020
432130311330220
5444031121044
640020212440
76002503026
oct1634657450
9556168836
10242442024
11114941310
126923a120
133b2c7526
14242ad716
151643ea19
hexe735f28

242442024 has 32 divisors (see below), whose sum is σ = 661206240. Its totient is φ = 73467200.

The previous prime is 242441989. The next prime is 242442029. The reversal of 242442024 is 420244242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242441985 and 242442003.

It is not an unprimeable number, because it can be changed into a prime (242442029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458907 + ... + 459434.

It is an arithmetic number, because the mean of its divisors is an integer number (20662695).

Almost surely, 2242442024 is an apocalyptic number.

242442024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242442024 is an abundant number, since it is smaller than the sum of its proper divisors (418764216).

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

242442024 is a wasteful number, since it uses less digits than its factorization.

242442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918361 (or 918357 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 242442024 is about 15570.5498939504. The cubic root of 242442024 is about 623.5471525383.

Adding to 242442024 its reverse (420244242), we get a palindrome (662686266).

The spelling of 242442024 in words is "two hundred forty-two million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 918341 1836682 2755023 3673364 5510046 7346728 10101751 11020092 20203502 22040184 30305253 40407004 60610506 80814008 121221012 242442024