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2434133130 = 23511131929863
BaseRepresentation
bin1001000100010101…
…1110110010001010
320021122020202220220
42101011132302022
514441114230010
61041311530510
7114214535022
oct22105366212
96248222826
102434133130
11103a006280
1257b229a36
132ca3a9c80
141913c6a82
15e3a69970
hex9115ec8a

2434133130 has 128 divisors (see below), whose sum is σ = 7224698880. Its totient is φ = 516015360.

The previous prime is 2434133129. The next prime is 2434133131. The reversal of 2434133130 is 313314342.

It is an interprime number because it is at equal distance from previous prime (2434133129) and next prime (2434133131).

It is a self number, because there is not a number n which added to its sum of digits gives 2434133130.

It is not an unprimeable number, because it can be changed into a prime (2434133131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66579 + ... + 96441.

It is an arithmetic number, because the mean of its divisors is an integer number (56442960).

Almost surely, 22434133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612349440).

2434133130 is an abundant number, since it is smaller than the sum of its proper divisors (4790565750).

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

2434133130 is a wasteful number, since it uses less digits than its factorization.

2434133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29916.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2434133130 is about 49336.9347446718. The cubic root of 2434133130 is about 1345.1832238425.

Adding to 2434133130 its reverse (313314342), we get a palindrome (2747447472).

The spelling of 2434133130 in words is "two billion, four hundred thirty-four million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 190 195 209 247 285 286 330 390 418 429 494 570 627 715 741 858 1045 1235 1254 1430 1482 2090 2145 2470 2717 3135 3705 4290 5434 6270 7410 8151 13585 16302 27170 29863 40755 59726 81510 89589 149315 179178 298630 328493 388219 447945 567397 656986 776438 895890 985479 1134794 1164657 1642465 1702191 1941095 1970958 2329314 2836985 3284930 3404382 3882190 4270409 4927395 5673970 5823285 6241367 7376161 8510955 8540818 9854790 11646570 12482734 12811227 14752322 17021910 18724101 21352045 22128483 25622454 31206835 36880805 37448202 42704090 44256966 62413670 64056135 73761610 81137771 93620505 110642415 128112270 162275542 187241010 221284830 243413313 405688855 486826626 811377710 1217066565 2434133130