Search a number
-
+
1430220330 = 2325721129483
BaseRepresentation
bin101010100111111…
…0110111000101010
310200200012201110100
41111033312320222
510412114022310
6353530330230
750304446400
oct12517667052
93620181410
101430220330
1167435a780
1233ab89976
1319a3ccb26
14d7d3b470
1585863ec0
hex553f6e2a

1430220330 has 144 divisors (see below), whose sum is σ = 4719091104. Its totient is φ = 297178560.

The previous prime is 1430220313. The next prime is 1430220331. The reversal of 1430220330 is 330220341.

1430220330 is a `hidden beast` number, since 1 + 430 + 2 + 203 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1430220331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33769 + ... + 63251.

It is an arithmetic number, because the mean of its divisors is an integer number (32771466).

Almost surely, 21430220330 is an apocalyptic number.

1430220330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359545552).

1430220330 is an abundant number, since it is smaller than the sum of its proper divisors (3288870774).

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

1430220330 is a wasteful number, since it uses less digits than its factorization.

1430220330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29521 (or 29511 counting only the distinct ones).

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

The square root of 1430220330 is about 37818.2539258491. The cubic root of 1430220330 is about 1126.6810305737.

Adding to 1430220330 its reverse (330220341), we get a palindrome (1760440671).

The spelling of 1430220330 in words is "one billion, four hundred thirty million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1078 1155 1386 1470 1617 2205 2310 2695 3234 3465 4410 4851 5390 6930 8085 9702 16170 24255 29483 48510 58966 88449 147415 176898 206381 265347 294830 324313 412762 442245 530694 619143 648626 884490 972939 1031905 1238286 1326735 1444667 1621565 1857429 1945878 2063810 2270191 2653470 2889334 2918817 3095715 3243130 3714858 4334001 4540382 4864695 5837634 6191430 6810573 7223335 8668002 9287145 9729390 11350955 13002003 13621146 14446670 14594085 15891337 18574290 20431719 21670005 22701910 26004006 29188170 31782674 34052865 40863438 43340010 47674011 65010015 68105730 79456685 95348022 102158595 130020030 143022033 158913370 204317190 238370055 286044066 476740110 715110165 1430220330