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4429024320 = 263573747379
BaseRepresentation
bin1000001111111110…
…11000110001000000
3102102122222202011210
410013333120301000
533032312234240
62011253210120
7214520041230
oct40777306100
912378882153
104429024320
111973083586
12a37330940
13557785b66
14300311cc0
151adc6d780
hex107fd8c40

4429024320 has 448 divisors, whose sum is σ = 16901038080. Its totient is φ = 961486848.

The previous prime is 4429024309. The next prime is 4429024339. The reversal of 4429024320 is 234209244.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11685891 + ... + 11686269.

Almost surely, 24429024320 is an apocalyptic number.

4429024320 is a gapful number since it is divisible by the number (40) 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 4429024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8450519040).

4429024320 is an abundant number, since it is smaller than the sum of its proper divisors (12472013760).

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

4429024320 is a wasteful number, since it uses less digits than its factorization.

4429024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4429024320 is about 66550.9152453969. The cubic root of 4429024320 is about 1642.2377147219.

The spelling of 4429024320 in words is "four billion, four hundred twenty-nine million, twenty-four thousand, three hundred twenty".