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13684374 = 23211261103
BaseRepresentation
bin110100001100…
…111010010110
3221202020102200
4310030322112
512000344444
61205145330
7224213064
oct64147226
927666380
1013684374
1177a7300
1246bb246
132ab1882
141b63034
151304969
hexd0ce96

13684374 has 72 divisors (see below), whose sum is σ = 33445776. Its totient is φ = 4039200.

The previous prime is 13684357. The next prime is 13684387. The reversal of 13684374 is 47348631.

13684374 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132807 + ... + 132909.

Almost surely, 213684374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13684374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722888).

13684374 is an abundant number, since it is smaller than the sum of its proper divisors (19761402).

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

13684374 is a wasteful number, since it uses less digits than its factorization.

13684374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

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

The square root of 13684374 is about 3699.2396516041. The cubic root of 13684374 is about 239.1892433913.

The spelling of 13684374 in words is "thirteen million, six hundred eighty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 103 121 122 183 198 206 242 309 363 366 549 618 671 726 927 1089 1098 1133 1342 1854 2013 2178 2266 3399 4026 6039 6283 6798 7381 10197 12078 12463 12566 14762 18849 20394 22143 24926 37389 37698 44286 56547 66429 69113 74778 112167 113094 132858 138226 207339 224334 414678 622017 760243 1244034 1520486 2280729 4561458 6842187 13684374