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14314068 = 223217191231
BaseRepresentation
bin110110100110…
…101001010100
3222221020012200
4312212221110
512131022233
61230444500
7232444656
oct66465124
928836180
1014314068
11809740a
124963730
132c72382
141c886d6
1513cb313
hexda6a54

14314068 has 72 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 4250880.

The previous prime is 14314067. The next prime is 14314099. The reversal of 14314068 is 86041341.

14314068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11013 + ... + 12243.

It is an arithmetic number, because the mean of its divisors is an integer number (560560).

Almost surely, 214314068 is an apocalyptic number.

14314068 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 14314068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

14314068 is an abundant number, since it is smaller than the sum of its proper divisors (26046252).

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

14314068 is a wasteful number, since it uses less digits than its factorization.

14314068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14314068 is about 3783.3937146430. The cubic root of 14314068 is about 242.8031734416.

The spelling of 14314068 in words is "fourteen million, three hundred fourteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1231 1292 1938 2462 2907 3693 3876 4924 5814 7386 11079 11628 14772 20927 22158 23389 41854 44316 46778 62781 70167 83708 93556 125562 140334 188343 210501 251124 280668 376686 397613 421002 753372 795226 842004 1192839 1590452 2385678 3578517 4771356 7157034 14314068