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14383368 = 23321071867
BaseRepresentation
bin110110110111…
…100100001000
31000001202021100
4312313210020
512140231433
61232141400
7233154006
oct66674410
930052240
1014383368
11813448a
124997860
132c97a8c
141ca5a76
1513e1b13
hexdb7908

14383368 has 48 divisors (see below), whose sum is σ = 39340080. Its totient is φ = 4747104.

The previous prime is 14383367. The next prime is 14383381. The reversal of 14383368 is 86338341.

It is a happy number.

14383368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (14383367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6771 + ... + 8637.

It is an arithmetic number, because the mean of its divisors is an integer number (819585).

Almost surely, 214383368 is an apocalyptic number.

14383368 is a gapful number since it is divisible by the number (18) 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 14383368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19670040).

14383368 is an abundant number, since it is smaller than the sum of its proper divisors (24956712).

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

14383368 is a wasteful number, since it uses less digits than its factorization.

14383368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1979 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 14383368 is about 3792.5411006342. The cubic root of 14383368 is about 243.1943778277.

The spelling of 14383368 in words is "fourteen million, three hundred eighty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1867 1926 2568 3734 3852 5601 7468 7704 11202 14936 16803 22404 33606 44808 67212 134424 199769 399538 599307 799076 1198614 1598152 1797921 2397228 3595842 4794456 7191684 14383368