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13241844 = 223271117281
BaseRepresentation
bin110010100000…
…110111110100
3220220202101200
4302200313310
511342214334
61151452500
7220360650
oct62406764
926822350
1013241844
117524880
124527130
132988315
141a89a60
151268799
hexca0df4

13241844 has 144 divisors (see below), whose sum is σ = 44343936. Its totient is φ = 3225600.

The previous prime is 13241821. The next prime is 13241849. The reversal of 13241844 is 44814231.

13241844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46984 + ... + 47264.

It is an arithmetic number, because the mean of its divisors is an integer number (307944).

Almost surely, 213241844 is an apocalyptic number.

13241844 is a gapful number since it is divisible by the number (14) 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 13241844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22171968).

13241844 is an abundant number, since it is smaller than the sum of its proper divisors (31102092).

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

13241844 is a wasteful number, since it uses less digits than its factorization.

13241844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 13241844 is about 3638.9344594263. The cubic root of 13241844 is about 236.5826120427.

The spelling of 13241844 in words is "thirteen million, two hundred forty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 281 306 308 357 374 396 462 476 561 562 612 693 714 748 843 924 1071 1122 1124 1309 1386 1428 1683 1686 1967 2142 2244 2529 2618 2772 3091 3366 3372 3927 3934 4284 4777 5058 5236 5901 6182 6732 7854 7868 9273 9554 10116 11781 11802 12364 14331 15708 17703 18546 19108 21637 23562 23604 27819 28662 33439 35406 37092 42993 43274 47124 52547 55638 57324 64911 66878 70812 85986 86548 100317 105094 111276 129822 133756 157641 171972 194733 200634 210188 259644 300951 315282 367829 389466 401268 472923 601902 630564 735658 778932 945846 1103487 1203804 1471316 1891692 2206974 3310461 4413948 6620922 13241844