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28340676 = 223271341211
BaseRepresentation
bin110110000011…
…1000111000100
31222022212002200
41230013013010
524223400201
62451234500
7462614610
oct154070704
958285080
1028340676
1114aa7851
1295a8a30
135b43940
143a9a340
15274c386
hex1b071c4

28340676 has 144 divisors (see below), whose sum is σ = 90749568. Its totient is φ = 7257600.

The previous prime is 28340659. The next prime is 28340677. The reversal of 28340676 is 67604382.

It is a super-2 number, since 2×283406762 = 1606387832273952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28340676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28340677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134211 + ... + 134421.

Almost surely, 228340676 is an apocalyptic number.

28340676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28340676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45374784).

28340676 is an abundant number, since it is smaller than the sum of its proper divisors (62408892).

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

28340676 is a wasteful number, since it uses less digits than its factorization.

28340676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28340676 is about 5323.5961529778. The cubic root of 28340676 is about 304.8854752322.

The spelling of 28340676 in words is "twenty-eight million, three hundred forty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 41 42 52 63 78 82 84 91 117 123 126 156 164 182 211 234 246 252 273 287 364 369 422 468 492 533 546 574 633 738 819 844 861 1066 1092 1148 1266 1476 1477 1599 1638 1722 1899 2132 2532 2583 2743 2954 3198 3276 3444 3731 3798 4431 4797 5166 5486 5908 6396 7462 7596 8229 8651 8862 9594 10332 10972 11193 13293 14924 16458 17302 17724 19188 19201 22386 24687 25953 26586 32916 33579 34604 38402 44772 49374 51906 53172 57603 60557 67158 76804 77859 98748 103812 112463 115206 121114 134316 155718 172809 181671 224926 230412 242228 311436 337389 345618 363342 449852 545013 674778 691236 726684 787241 1012167 1090026 1349556 1574482 2024334 2180052 2361723 3148964 4048668 4723446 7085169 9446892 14170338 28340676