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2413424304 = 243224236917
BaseRepresentation
bin1000111111011001…
…1110111010110000
320020012021122202100
42033312132322300
514420314034204
61035252020400
7113543524314
oct21766367260
96205248670
102413424304
111029351445
12574301700
132c6009025
1418c755b44
15e1d28a39
hex8fd9eeb0

2413424304 has 60 divisors (see below), whose sum is σ = 6758000496. Its totient is φ = 804026496.

The previous prime is 2413424231. The next prime is 2413424309. The reversal of 2413424304 is 4034243142.

It is a happy number.

2413424304 is a `hidden beast` number, since 2 + 413 + 4 + 243 + 0 + 4 = 666.

It is a super-2 number, since 2×24134243042 = 11649233742275768832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2413424309) 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 11 ways as a sum of consecutive naturals, for example, 345454 + ... + 352370.

Almost surely, 22413424304 is an apocalyptic number.

2413424304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2413424304 is an abundant number, since it is smaller than the sum of its proper divisors (4344576192).

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

2413424304 is a wasteful number, since it uses less digits than its factorization.

2413424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2413424304 is about 49126.6150268874. The cubic root of 2413424304 is about 1341.3575578795.

Adding to 2413424304 its reverse (4034243142), we get a palindrome (6447667446).

The spelling of 2413424304 in words is "two billion, four hundred thirteen million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2423 4846 6917 7269 9692 13834 14538 19384 20751 21807 27668 29076 38768 41502 43614 55336 58152 62253 83004 87228 110672 116304 124506 166008 174456 249012 332016 348912 498024 996048 16759891 33519782 50279673 67039564 100559346 134079128 150839019 201118692 268158256 301678038 402237384 603356076 804474768 1206712152 2413424304