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4424430312 = 23321072412383
BaseRepresentation
bin1000001111011011…
…10111001011101000
3102102100100100101100
410013231313023220
533030123232222
62011010521400
7214433015511
oct40755671350
912370310340
104424430312
111970525a85
12a35896260
13556837b03
142dd877a08
151ad6624ac
hex107b772e8

4424430312 has 96 divisors (see below), whose sum is σ = 12150103680. Its totient is φ = 1454353920.

The previous prime is 4424430277. The next prime is 4424430323. The reversal of 4424430312 is 2130344244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855473 + ... + 1857855.

It is an arithmetic number, because the mean of its divisors is an integer number (126563580).

Almost surely, 24424430312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075051840).

4424430312 is an abundant number, since it is smaller than the sum of its proper divisors (7725673368).

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

4424430312 is a wasteful number, since it uses less digits than its factorization.

4424430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2736 counting only the distinct ones).

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

The square root of 4424430312 is about 66516.3913031968. The cubic root of 4424430312 is about 1641.6697142886.

Adding to 4424430312 its reverse (2130344244), we get a palindrome (6554774556).

The spelling of 4424430312 in words is "four billion, four hundred twenty-four million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 241 321 428 482 642 723 856 963 964 1284 1446 1926 1928 2169 2383 2568 2892 3852 4338 4766 5784 7149 7704 8676 9532 14298 17352 19064 21447 25787 28596 42894 51574 57192 77361 85788 103148 154722 171576 206296 232083 254981 309444 464166 509962 574303 618888 764943 928332 1019924 1148606 1529886 1722909 1856664 2039848 2294829 2297212 3059772 3445818 4589658 4594424 5168727 6119544 6891636 9179316 10337454 13783272 18358632 20674908 41349816 61450421 122900842 184351263 245801684 368702526 491603368 553053789 737405052 1106107578 1474810104 2212215156 4424430312