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242402424 = 233111019091
BaseRepresentation
bin11100111001011…
…00010001111000
3121220010022121120
432130230101320
5444023334144
640015305240
76002246415
oct1634542170
9556108546
10242402424
11114914590
126921b220
133b2b24b4
142429d10c
1516432e19
hexe72c478

242402424 has 64 divisors (see below), whose sum is σ = 667716480. Its totient is φ = 72720000.

The previous prime is 242402383. The next prime is 242402431. The reversal of 242402424 is 424204242.

242402424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2424024242 = 117517870322151552, which contains 22 as substring.

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 = 242402394 and 242402403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22119 + ... + 31209.

It is an arithmetic number, because the mean of its divisors is an integer number (10433070).

Almost surely, 2242402424 is an apocalyptic number.

242402424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333858240).

242402424 is an abundant number, since it is smaller than the sum of its proper divisors (425314056).

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

242402424 is a wasteful number, since it uses less digits than its factorization.

242402424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 9208 counting only the distinct ones).

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

The square root of 242402424 is about 15569.2782106301. The cubic root of 242402424 is about 623.5132010374.

242402424 divided by its sum of digits (24) gives a palindrome (10100101).

Adding to 242402424 its reverse (424204242), we get a palindrome (666606666).

The spelling of 242402424 in words is "two hundred forty-two million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 9091 13332 18182 26664 27273 36364 54546 72728 100001 109092 200002 218184 300003 400004 600006 800008 918191 1200012 1836382 2400024 2754573 3672764 5509146 7345528 10100101 11018292 20200202 22036584 30300303 40400404 60600606 80800808 121201212 242402424