Search a number
-
+
2434241480 = 23511113173283
BaseRepresentation
bin1001000100010111…
…1001001111001000
320021122110021112212
42101011321033020
514441131211410
61041314124252
7114215465636
oct22105711710
96248407485
102434241480
11103a07a720
1257b280688
132ca417398
14191414356
15e3a8bb05
hex911793c8

2434241480 has 128 divisors (see below), whose sum is σ = 6084097920. Its totient is φ = 869191680.

The previous prime is 2434241479. The next prime is 2434241497. The reversal of 2434241480 is 841424342.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8601419 + ... + 8601701.

It is an arithmetic number, because the mean of its divisors is an integer number (47532015).

Almost surely, 22434241480 is an apocalyptic number.

2434241480 is a gapful number since it is divisible by the number (20) 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 2434241480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042048960).

2434241480 is an abundant number, since it is smaller than the sum of its proper divisors (3649856440).

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

2434241480 is a wasteful number, since it uses less digits than its factorization.

2434241480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2434241480 is about 49338.0327941842. The cubic root of 2434241480 is about 1345.2031828220.

The spelling of 2434241480 in words is "two billion, four hundred thirty-four million, two hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 173 220 226 283 346 440 452 565 566 692 865 904 1130 1132 1243 1384 1415 1730 1903 2260 2264 2486 2830 3113 3460 3806 4520 4972 5660 6215 6226 6920 7612 9515 9944 11320 12430 12452 15224 15565 19030 19549 24860 24904 31130 31979 38060 39098 48959 49720 62260 63958 76120 78196 97745 97918 124520 127916 156392 159895 195490 195836 215039 244795 255832 319790 351769 390980 391672 430078 489590 538549 639580 703538 781960 860156 979180 1075195 1077098 1279160 1407076 1720312 1758845 1958360 2150390 2154196 2692745 2814152 3517690 4300780 4308392 5385490 5532367 7035380 8601560 10770980 11064734 14070760 21541960 22129468 27661835 44258936 55323670 60856037 110647340 121712074 221294680 243424148 304280185 486848296 608560370 1217120740 2434241480