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1828434069 = 3272113761167
BaseRepresentation
bin110110011111011…
…1011000010010101
311201102112002000100
41230332323002111
512221034342234
6501233404313
763211301400
oct15476730225
94642462010
101828434069
11859115640
12430409699
13231a67367
14134b98d37
15aa7c3399
hex6cfbb095

1828434069 has 144 divisors (see below), whose sum is σ = 3519524736. Its totient is φ = 903571200.

The previous prime is 1828434053. The next prime is 1828434071. The reversal of 1828434069 is 9604348281.

It is a happy number.

It is not a de Polignac number, because 1828434069 - 24 = 1828434053 is a prime.

It is a super-2 number, since 2×18284340692 = 6686342289359793522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828434169) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10948624 + ... + 10948790.

It is an arithmetic number, because the mean of its divisors is an integer number (24441144).

Almost surely, 21828434069 is an apocalyptic number.

It is an amenable number.

1828434069 is a deficient number, since it is larger than the sum of its proper divisors (1691090667).

1828434069 is a wasteful number, since it uses less digits than its factorization.

1828434069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1828434069 is about 42760.1925744027. The cubic root of 1828434069 is about 1222.8122147853.

The spelling of 1828434069 in words is "one billion, eight hundred twenty-eight million, four hundred thirty-four thousand, sixty-nine".

Divisors: 1 3 7 9 11 21 33 37 49 61 63 77 99 111 147 167 183 231 259 333 407 427 441 501 539 549 671 693 777 1169 1221 1281 1503 1617 1813 1837 2013 2257 2331 2849 2989 3507 3663 3843 4697 4851 5439 5511 6039 6179 6771 8183 8547 8967 10187 10521 12859 14091 15799 16317 16533 18537 19943 20313 24549 24827 25641 26901 30561 32879 38577 42273 43253 47397 55611 59829 67969 71309 73647 74481 90013 91683 98637 110593 112057 115731 129759 142191 173789 179487 203907 213927 223443 270039 295911 302771 331779 336171 376919 389277 475783 499163 521367 611721 641781 784399 810117 908313 995337 1008513 1130757 1216523 1427349 1497489 1564101 2353197 2638433 2724939 3330481 3392271 3649569 4146109 4282047 4492467 5490793 7059591 7915299 9991443 10948707 12438327 16472379 18469031 23745897 29022763 29974329 37314981 49417137 55407093 87068289 166221279 203159341 261204867 609478023 1828434069