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13843305 = 345719257
BaseRepresentation
bin110100110011…
…101101101001
3222001022110000
4310303231221
512020441210
61212413213
7225444330
oct64635551
928038400
1013843305
1178a5753
124777209
132b39008
141ba4d17
151336ac0
hexd33b69

13843305 has 80 divisors (see below), whose sum is σ = 29969280. Its totient is φ = 5971968.

The previous prime is 13843283. The next prime is 13843331. The reversal of 13843305 is 50334831.

It is a happy number.

It is not a de Polignac number, because 13843305 - 26 = 13843241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 53737 + ... + 53993.

It is an arithmetic number, because the mean of its divisors is an integer number (374616).

Almost surely, 213843305 is an apocalyptic number.

13843305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13843305 is an abundant number, since it is smaller than the sum of its proper divisors (16125975).

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

13843305 is a wasteful number, since it uses less digits than its factorization.

13843305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13843305 is about 3720.6592157842. The cubic root of 13843305 is about 240.1116667858. Note that the first 3 decimals are identical.

The spelling of 13843305 in words is "thirteen million, eight hundred forty-three thousand, three hundred five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 81 95 105 133 135 171 189 257 285 315 399 405 513 567 665 771 855 945 1197 1285 1539 1799 1995 2313 2565 2835 3591 3855 4883 5397 5985 6939 7695 8995 10773 11565 14649 16191 17955 20817 24415 26985 34181 34695 43947 48573 53865 73245 80955 102543 104085 131841 145719 170905 219735 242865 307629 395523 512715 659205 728595 922887 1538145 1977615 2768661 4614435 13843305