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434300130 = 23451179617
BaseRepresentation
bin11001111000101…
…110010011100010
31010021012201210000
4121320232103202
51342140101010
6111032320430
713522330065
oct3170562342
91107181700
10434300130
11203173130
12101543116
136bc90934
14419728dc
15281db7c0
hex19e2e4e2

434300130 has 160 divisors (see below), whose sum is σ = 1292163840. Its totient is φ = 103783680.

The previous prime is 434300123. The next prime is 434300147. The reversal of 434300130 is 31003434.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 703582 + ... + 704198.

It is an arithmetic number, because the mean of its divisors is an integer number (8076024).

Almost surely, 2434300130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434300130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646081920).

434300130 is an abundant number, since it is smaller than the sum of its proper divisors (857863710).

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

434300130 is a wasteful number, since it uses less digits than its factorization.

434300130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 434300130 is about 20839.8687615829. The cubic root of 434300130 is about 757.2919142193.

Adding to 434300130 its reverse (31003434), we get a palindrome (465303564).

The spelling of 434300130 in words is "four hundred thirty-four million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 79 81 90 99 110 135 158 162 165 198 237 270 297 330 395 405 474 495 594 617 711 790 810 869 891 990 1185 1234 1422 1485 1738 1782 1851 2133 2370 2607 2970 3085 3555 3702 4266 4345 4455 5214 5553 6170 6399 6787 7110 7821 8690 8910 9255 10665 11106 12798 13035 13574 15642 16659 18510 20361 21330 23463 26070 27765 31995 33318 33935 39105 40722 46926 48743 49977 55530 61083 63990 67870 70389 78210 83295 97486 99954 101805 117315 122166 140778 146229 166590 183249 203610 234630 243715 249885 292458 305415 351945 366498 438687 487430 499770 536173 549747 610830 703890 731145 877374 916245 1072346 1099494 1316061 1462290 1608519 1832490 2193435 2632122 2680865 2748735 3217038 3948183 4386870 4825557 5361730 5497470 6580305 7896366 8042595 9651114 13160610 14476671 16085190 19740915 24127785 28953342 39481830 43430013 48255570 72383355 86860026 144766710 217150065 434300130