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342461130 = 2351119193283
BaseRepresentation
bin10100011010011…
…000101011001010
3212212101211100120
4110122120223022
51200132224010
653552044110
711325604644
oct2432305312
9785354316
10342461130
11166346130
1296833636
1355c4692b
14336a7894
15200e9e70
hex14698aca

342461130 has 128 divisors (see below), whose sum is σ = 952058880. Its totient is φ = 77967360.

The previous prime is 342461113. The next prime is 342461179. The reversal of 342461130 is 31164243.

It is a self number, because there is not a number n which added to its sum of digits gives 342461130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209969 + ... + 1210251.

It is an arithmetic number, because the mean of its divisors is an integer number (7437960).

Almost surely, 2342461130 is an apocalyptic number.

342461130 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 342461130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476029440).

342461130 is an abundant number, since it is smaller than the sum of its proper divisors (609597750).

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

342461130 is a wasteful number, since it uses less digits than its factorization.

342461130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 342461130 is about 18505.7053364631. The cubic root of 342461130 is about 699.6332296301.

The spelling of 342461130 in words is "three hundred forty-two million, four hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 193 209 283 285 330 386 418 566 570 579 627 849 965 1045 1158 1254 1415 1698 1930 2090 2123 2830 2895 3113 3135 3667 4245 4246 5377 5790 6226 6270 6369 7334 8490 9339 10615 10754 11001 12738 15565 16131 18335 18678 21230 22002 26885 31130 31845 32262 36670 40337 46695 53770 54619 55005 59147 63690 80655 80674 93390 109238 110010 118294 121011 161310 163857 177441 201685 242022 273095 295735 327714 354882 403370 546190 591470 600809 605055 819285 887205 1037761 1201618 1210110 1638570 1774410 1802427 2075522 3004045 3113283 3604854 5188805 6008090 6226566 9012135 10377610 11415371 15566415 18024270 22830742 31132830 34246113 57076855 68492226 114153710 171230565 342461130