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242304432024 = 23324473412537
BaseRepresentation
bin1110000110101001111…
…0000011011110011000
3212011102121112111110010
43201222132003132120
512432214413311044
6303151344521520
723335346455344
oct3415236033630
9764377474403
10242304432024
1193840598116
123ab633202a0
1319b06938c85
14ba28752624
156482405bb9
hex386a783798

242304432024 has 32 divisors (see below), whose sum is σ = 605787300720. Its totient is φ = 80764647936.

The previous prime is 242304432023. The next prime is 242304432037. The reversal of 242304432024 is 420234403242.

242304432024 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 2×2423044320242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242304431982 and 242304432000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242304432023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381084 + ... + 793620.

Almost surely, 2242304432024 is an apocalyptic number.

242304432024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242304432024 is an abundant number, since it is smaller than the sum of its proper divisors (363482868696).

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

242304432024 is a wasteful number, since it uses less digits than its factorization.

242304432024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437019 (or 437015 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 242304432024 its reverse (420234403242), we get a palindrome (662538835266).

The spelling of 242304432024 in words is "two hundred forty-two billion, three hundred four million, four hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 24473 48946 73419 97892 146838 195784 293676 412537 587352 825074 1237611 1650148 2475222 3300296 4950444 9900888 10096018001 20192036002 30288054003 40384072004 60576108006 80768144008 121152216012 242304432024