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14345408 = 267114171
BaseRepresentation
bin110110101110…
…010011000000
3222222211012102
4312232103000
512133023113
61231245532
7232635230
oct66562300
928884172
1014345408
118108a10
1249798a8
132c8370c
141c95cc0
1513d5758
hexdae4c0

14345408 has 112 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 5376000.

The previous prime is 14345393. The next prime is 14345411. The reversal of 14345408 is 80454341.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 202013 + ... + 202083.

It is an arithmetic number, because the mean of its divisors is an integer number (329184).

Almost surely, 214345408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

14345408 is an abundant number, since it is smaller than the sum of its proper divisors (22523200).

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

14345408 is a wasteful number, since it uses less digits than its factorization.

14345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 14345408 is about 3787.5332341776. The cubic root of 14345408 is about 242.9802464369.

Adding to 14345408 its reverse (80454341), we get a palindrome (94799749).

The spelling of 14345408 in words is "fourteen million, three hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 71 77 82 88 112 142 154 164 176 224 284 287 308 328 352 448 451 497 568 574 616 656 704 781 902 994 1136 1148 1232 1312 1562 1804 1988 2272 2296 2464 2624 2911 3124 3157 3608 3976 4544 4592 4928 5467 5822 6248 6314 7216 7952 9184 10934 11644 12496 12628 14432 15904 18368 20377 21868 23288 24992 25256 28864 31808 32021 40754 43736 46576 49984 50512 64042 81508 87472 93152 101024 128084 163016 174944 186304 202048 224147 256168 326032 349888 448294 512336 652064 896588 1024672 1304128 1793176 2049344 3586352 7172704 14345408