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14434480 = 245672693
BaseRepresentation
bin110111000100…
…000010110000
31000011100101101
4313010002300
512143400410
61233214144
7233456014
oct67040260
930140341
1014434480
118169925
124a01354
132cb5118
141cba544
151401d3a
hexdc40b0

14434480 has 40 divisors (see below), whose sum is σ = 34073712. Its totient is φ = 5685504.

The previous prime is 14434463. The next prime is 14434481. The reversal of 14434480 is 8443441.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14434481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4014 + ... + 6706.

Almost surely, 214434480 is an apocalyptic number.

14434480 is a gapful number since it is divisible by the number (10) 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 14434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17036856).

14434480 is an abundant number, since it is smaller than the sum of its proper divisors (19639232).

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

14434480 is a wasteful number, since it uses less digits than its factorization.

14434480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 14434480 is about 3799.2736147848. The cubic root of 14434480 is about 243.4821049748.

The spelling of 14434480 in words is "fourteen million, four hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 2693 5360 5386 10772 13465 21544 26930 43088 53860 107720 180431 215440 360862 721724 902155 1443448 1804310 2886896 3608620 7217240 14434480