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429884130 = 2351331337
BaseRepresentation
bin11001100111111…
…000001011100010
31002221220101011110
4121213320023202
51340022243010
6110353524150
713436645334
oct3147701342
91087811143
10429884130
11200727345
12bbb73656
136b0a5910
1441143454
1527b18120
hex199f82e2

429884130 has 128 divisors (see below), whose sum is σ = 1179150336. Its totient is φ = 99636480.

The previous prime is 429884111. The next prime is 429884131. The reversal of 429884130 is 31488924.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (429884131) 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, 11618472 + ... + 11618508.

It is an arithmetic number, because the mean of its divisors is an integer number (9212112).

Almost surely, 2429884130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429884130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589575168).

429884130 is an abundant number, since it is smaller than the sum of its proper divisors (749266206).

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

429884130 is a wasteful number, since it uses less digits than its factorization.

429884130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 429884130 is about 20733.6472912992. The cubic root of 429884130 is about 754.7164293314.

The spelling of 429884130 in words is "four hundred twenty-nine million, eight hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 37 39 62 65 74 78 93 111 130 155 185 186 195 222 310 370 390 403 465 481 555 806 930 961 962 1110 1147 1209 1443 1922 2015 2294 2405 2418 2883 2886 3441 4030 4805 4810 5735 5766 6045 6882 7215 9610 11470 12090 12493 14415 14430 14911 17205 24986 28830 29791 29822 34410 35557 37479 44733 59582 62465 71114 74555 74958 89373 89466 106671 124930 148955 149110 177785 178746 187395 213342 223665 297910 355570 374790 387283 446865 447330 462241 533355 774566 893730 924482 1066710 1102267 1161849 1386723 1936415 2204534 2311205 2323698 2773446 3306801 3872830 4622410 5511335 5809245 6613602 6933615 11022670 11618490 13867230 14329471 16534005 28658942 33068010 42988413 71647355 85976826 143294710 214942065 429884130