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14346045 = 3357171947
BaseRepresentation
bin110110101110…
…011100111101
3222222212002000
4312232130331
512133033140
61231252513
7232640130
oct66563475
928885060
1014346045
11810943a
12497a139
132c83aac
141c96217
1513d5a30
hexdae73d

14346045 has 128 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 5723136.

The previous prime is 14346029. The next prime is 14346049. The reversal of 14346045 is 54064341.

14346045 = 282 + 292 + ... + 3502.

It is not a de Polignac number, because 14346045 - 24 = 14346029 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305212 + ... + 305258.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 214346045 is an apocalyptic number.

14346045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14346045 is an abundant number, since it is smaller than the sum of its proper divisors (18831555).

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

14346045 is a wasteful number, since it uses less digits than its factorization.

14346045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 14346045 is about 3787.6173249155. The cubic root of 14346045 is about 242.9838428520.

The spelling of 14346045 in words is "fourteen million, three hundred forty-six thousand, forty-five".

Divisors: 1 3 5 7 9 15 17 19 21 27 35 45 47 51 57 63 85 95 105 119 133 135 141 153 171 189 235 255 285 315 323 329 357 399 423 459 513 595 665 705 765 799 855 893 945 969 987 1071 1197 1269 1615 1645 1785 1995 2115 2261 2295 2397 2565 2679 2907 2961 3213 3591 3995 4465 4845 4935 5355 5593 5985 6251 6345 6783 7191 8037 8721 8883 11305 11985 13395 14535 14805 15181 16065 16779 17955 18753 20349 21573 24111 27965 31255 33915 35955 40185 43605 44415 45543 50337 56259 61047 75905 83895 93765 101745 106267 107865 120555 136629 151011 168777 227715 251685 281295 305235 318801 409887 531335 683145 755055 843885 956403 1594005 2049435 2869209 4782015 14346045