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14434368 = 263135783
BaseRepresentation
bin110111000100…
…000001000000
31000011100020020
4313010001000
512143344433
61233213440
7233455464
oct67040100
930140206
1014434368
118169833
124a01280
132cb5060
141cba4a4
151401cb3
hexdc4040

14434368 has 56 divisors (see below), whose sum is σ = 41135808. Its totient is φ = 4440576.

The previous prime is 14434361. The next prime is 14434379. The reversal of 14434368 is 86343441.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14434361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (734568).

Almost surely, 214434368 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 14434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20567904).

14434368 is an abundant number, since it is smaller than the sum of its proper divisors (26701440).

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

14434368 is a wasteful number, since it uses less digits than its factorization.

14434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811 (or 5801 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 14434368 is about 3799.2588750966. The cubic root of 14434368 is about 243.4814752312.

The spelling of 14434368 in words is "fourteen million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 5783 11566 17349 23132 34698 46264 69396 75179 92528 138792 150358 185056 225537 277584 300716 370112 451074 555168 601432 902148 1110336 1202864 1804296 2405728 3608592 4811456 7217184 14434368