Search a number
-
+
3010434440 = 2351323924223
BaseRepresentation
bin1011001101101111…
…1001010110001000
321202210122220200212
42303123321112020
522131132400230
61214420020252
7134413161536
oct26333712610
97683586625
103010434440
111305347a52
12700231688
1338c8c8a70
14207b61156
15129455895
hexb36f9588

3010434440 has 64 divisors (see below), whose sum is σ = 7325337600. Its totient is φ = 1106848512.

The previous prime is 3010434439. The next prime is 3010434473. The reversal of 3010434440 is 444340103.

It is a super-2 number, since 2×30104344402 = 18125431035076227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112169 + ... + 136391.

It is an arithmetic number, because the mean of its divisors is an integer number (114458400).

Almost surely, 23010434440 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 3010434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662668800).

3010434440 is an abundant number, since it is smaller than the sum of its proper divisors (4314903160).

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

3010434440 is a wasteful number, since it uses less digits than its factorization.

3010434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24486 (or 24482 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3010434440 is about 54867.4260376774. The cubic root of 3010434440 is about 1443.9197539321.

Adding to 3010434440 its reverse (444340103), we get a palindrome (3454774543).

The spelling of 3010434440 in words is "three billion, ten million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 239 260 478 520 956 1195 1912 2390 3107 4780 6214 9560 12428 15535 24223 24856 31070 48446 62140 96892 121115 124280 193784 242230 314899 484460 629798 968920 1259596 1574495 2519192 3148990 5789297 6297980 11578594 12595960 23157188 28946485 46314376 57892970 75260861 115785940 150521722 231571880 301043444 376304305 602086888 752608610 1505217220 3010434440