Search a number
-
+
350444304 = 24327675189
BaseRepresentation
bin10100111000110…
…101101100010000
3220102102102012200
4110320311230100
51204203204204
654435123200
711453504340
oct2470655420
9812372180
10350444304
1116a8a8aa1
1299443500
13577b04c2
1434784d20
1520b75539
hex14e35b10

350444304 has 120 divisors (see below), whose sum is σ = 1137814080. Its totient is φ = 98613504.

The previous prime is 350444299. The next prime is 350444309. The reversal of 350444304 is 403444053.

350444304 is a `hidden beast` number, since 350 + 4 + 4 + 4 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (350444299) and next prime (350444309).

It is a super-2 number, since 2×3504443042 = 245622420412088832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (350444309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64942 + ... + 70130.

It is an arithmetic number, because the mean of its divisors is an integer number (9481784).

Almost surely, 2350444304 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 350444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568907040).

350444304 is an abundant number, since it is smaller than the sum of its proper divisors (787369776).

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

350444304 is a wasteful number, since it uses less digits than its factorization.

350444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 350444304 is about 18720.1576916435. The cubic root of 350444304 is about 705.0279512081.

Adding to 350444304 its reverse (403444053), we get a palindrome (753888357).

The spelling of 350444304 in words is "three hundred fifty million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1206 1407 1608 1876 2412 2814 3216 3752 4221 4824 5189 5628 7504 8442 9648 10378 11256 15567 16884 20756 22512 31134 33768 36323 41512 46701 62268 67536 72646 83024 93402 108969 124536 145292 186804 217938 249072 290584 326907 347663 373608 435876 581168 653814 695326 747216 871752 1042989 1307628 1390652 1743504 2085978 2433641 2615256 2781304 3128967 4171956 4867282 5230512 5562608 6257934 7300923 8343912 9734564 12515868 14601846 16687824 19469128 21902769 25031736 29203692 38938256 43805538 50063472 58407384 87611076 116814768 175222152 350444304