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34423046130 = 235111934915731
BaseRepresentation
bin100000000011110001…
…011111111111110010
310021212000000221000110
4200003301133333302
51030444244434010
623451433202150
72326015031034
oct400361377762
9107760027013
1034423046130
1113664a04060
126808260356
133327836b65
141947a41c54
15d670b6120
hex803c5fff2

34423046130 has 128 divisors (see below), whose sum is σ = 95147136000. Its totient is φ = 7882617600.

The previous prime is 34423046113. The next prime is 34423046171. The reversal of 34423046130 is 3164032443.

It is a super-2 number, since 2×344230461302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180365 + ... + 2196095.

It is an arithmetic number, because the mean of its divisors is an integer number (743337000).

Almost surely, 234423046130 is an apocalyptic number.

34423046130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34423046130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47573568000).

34423046130 is an abundant number, since it is smaller than the sum of its proper divisors (60724089870).

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

34423046130 is a wasteful number, since it uses less digits than its factorization.

34423046130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16120.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34423046130 its reverse (3164032443), we get a palindrome (37587078573).

The spelling of 34423046130 in words is "thirty-four billion, four hundred twenty-three million, forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 349 418 570 627 698 1045 1047 1254 1745 2090 2094 3135 3490 3839 5235 6270 6631 7678 10470 11517 13262 15731 19195 19893 23034 31462 33155 38390 39786 47193 57585 66310 72941 78655 94386 99465 115170 145882 157310 173041 198930 218823 235965 298889 346082 364705 437646 471930 519123 597778 729410 865205 896667 1038246 1094115 1494445 1730410 1793334 2188230 2595615 2988890 3287779 4483335 5191230 5490119 6575558 8966670 9863337 10980238 16438895 16470357 19726674 27450595 32877790 32940714 49316685 54901190 60391309 82351785 98633370 104312261 120782618 164703570 181173927 208624522 301956545 312936783 362347854 521561305 603913090 625873566 905869635 1043122610 1147434871 1564683915 1811739270 2294869742 3129367830 3442304613 5737174355 6884609226 11474348710 17211523065 34423046130