Search a number
-
+
308589149340 = 2232553106930259
BaseRepresentation
bin1000111110110010101…
…10001011110010011100
31002111112002221000121100
410133121112023302130
520023442310234330
6353433000233100
731203061330143
oct4373126136234
91074462830540
10308589149340
1110996559132a
124b981a6b790
132313b43b7b4
1410d15b6a75a
158061782060
hex47d958bc9c

308589149340 has 144 divisors (see below), whose sum is σ = 954638848800. Its totient is φ = 80659597824.

The previous prime is 308589149339. The next prime is 308589149347. The reversal of 308589149340 is 43941985803.

308589149340 is a `hidden beast` number, since 3 + 0 + 8 + 589 + 14 + 9 + 3 + 40 = 666.

It is a super-3 number, since 3×3085891493403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (308589149347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10183131 + ... + 10213389.

It is an arithmetic number, because the mean of its divisors is an integer number (6629436450).

Almost surely, 2308589149340 is an apocalyptic number.

308589149340 is a gapful number since it is divisible by the number (30) 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 308589149340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477319424400).

308589149340 is an abundant number, since it is smaller than the sum of its proper divisors (646049699460).

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

308589149340 is a wasteful number, since it uses less digits than its factorization.

308589149340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31396 (or 31391 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 308589149340 in words is "three hundred eight billion, five hundred eighty-nine million, one hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1069 1590 1908 2138 2385 3180 3207 4276 4770 5345 6414 9540 9621 10690 12828 16035 19242 21380 30259 32070 38484 48105 56657 60518 64140 90777 96210 113314 121036 151295 169971 181554 192420 226628 272331 283285 302590 339942 363108 453885 509913 544662 566570 605180 679884 849855 907770 1019826 1089324 1133140 1361655 1603727 1699710 1815540 2039652 2549565 2723310 3207454 3399420 4811181 5099130 5446620 6414908 8018635 9622362 10198260 14433543 16037270 19244724 24055905 28867086 32074540 32346871 48111810 57734172 64693742 72167715 96223620 97040613 129387484 144335430 161734355 194081226 288670860 291121839 323468710 388162452 485203065 582243678 646937420 970406130 1164487356 1455609195 1714384163 1940812260 2911218390 3428768326 5143152489 5822436780 6857536652 8571920815 10286304978 15429457467 17143841630 20572609956 25715762445 30858914934 34287683260 51431524890 61717829868 77147287335 102863049780 154294574670 308589149340