Search a number
-
+
1800000306 = 234133179349
BaseRepresentation
bin110101101001001…
…1101001100110010
311122110000111020000
41223102131030302
512141300002211
6454340130430
762414515206
oct15322351462
94573014200
101800000306
11844064965
12422996a16
13228bc0250
141310b6b06
15a8058656
hex6b49d332

1800000306 has 160 divisors (see below), whose sum is σ = 4553472000. Its totient is φ = 527679360.

The previous prime is 1800000289. The next prime is 1800000317. The reversal of 1800000306 is 6030000081.

1800000306 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×18000003062 = 6480002203200187272, which contains 22 as substring.

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, 5157420 + ... + 5157768.

It is an arithmetic number, because the mean of its divisors is an integer number (28459200).

Almost surely, 21800000306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800000306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276736000).

1800000306 is an abundant number, since it is smaller than the sum of its proper divisors (2753471694).

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

1800000306 is a wasteful number, since it uses less digits than its factorization.

1800000306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1800000306 is about 42426.4104774373. The cubic root of 1800000306 is about 1216.4404680463.

Adding to 1800000306 its reverse (6030000081), we get a palindrome (7830000387).

The spelling of 1800000306 in words is "one billion, eight hundred million, three hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 79 81 93 117 158 162 186 234 237 279 349 351 403 474 558 698 702 711 806 837 1027 1047 1053 1209 1422 1674 2054 2094 2106 2133 2418 2449 2511 3081 3141 3627 4266 4537 4898 5022 6162 6282 6399 7254 7347 9074 9243 9423 10819 10881 12798 13611 14694 18486 18846 21638 21762 22041 27222 27571 27729 28269 31837 32457 32643 40833 44082 55142 55458 56538 63674 64914 65286 66123 81666 82713 83187 95511 97371 122499 132246 140647 165426 166374 191022 194742 198369 244998 248139 281294 286533 292113 358423 367497 396738 421941 496278 573066 584226 716846 734994 744417 843882 854701 859599 876339 1075269 1265823 1488834 1709402 1719198 1752678 2150538 2233251 2531646 2564103 2578797 3225807 3797469 4466502 5128206 5157594 6451614 7594938 7692309 9677421 11111113 11392407 15384618 19354842 22222226 22784814 23076927 29032263 33333339 46153854 58064526 66666678 69230781 100000017 138461562 200000034 300000051 600000102 900000153 1800000306