Search a number
-
+
4424032314 = 2321321976543
BaseRepresentation
bin1000001111011000…
…10110000000111010
3102102022121010102200
410013230112000322
533030023013224
62010554211030
7214426440252
oct40754260072
912368533380
104424032314
111970283a59
12a35723a76
13556728900
142dd7b2962
151ad5d45c9
hex107b1603a

4424032314 has 72 divisors (see below), whose sum is σ = 10925890560. Its totient is φ = 1289579616.

The previous prime is 4424032297. The next prime is 4424032337. The reversal of 4424032314 is 4132304244.

It is a happy number.

4424032314 is a `hidden beast` number, since 4 + 424 + 0 + 3 + 231 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19527 + ... + 96069.

It is an arithmetic number, because the mean of its divisors is an integer number (151748480).

Almost surely, 24424032314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424032314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462945280).

4424032314 is an abundant number, since it is smaller than the sum of its proper divisors (6501858246).

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

4424032314 is a wasteful number, since it uses less digits than its factorization.

4424032314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76596 (or 76580 counting only the distinct ones).

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

The square root of 4424032314 is about 66513.3995071670. The cubic root of 4424032314 is about 1641.6204875475.

Adding to 4424032314 its reverse (4132304244), we get a palindrome (8556336558).

The spelling of 4424032314 in words is "four billion, four hundred twenty-four million, thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 234 247 338 342 494 507 741 1014 1482 1521 2223 3042 3211 4446 6422 9633 19266 28899 57798 76543 153086 229629 459258 688887 995059 1377774 1454317 1990118 2908634 2985177 4362951 5970354 8725902 8955531 12935767 13088853 17911062 18906121 25871534 26177706 37812242 38807301 56718363 77614602 113436726 116421903 170155089 232843806 245779573 340310178 491559146 737338719 1474677438 2212016157 4424032314