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14347008 = 283213479
BaseRepresentation
bin110110101110…
…101100000000
3222222220101200
4312232230000
512133101013
61231301200
7232643004
oct66565400
928886350
1014347008
11810a135
12497a800
132c84370
141c96704
1513d5e73
hexdaeb00

14347008 has 108 divisors (see below), whose sum is σ = 44640960. Its totient is φ = 4405248.

The previous prime is 14346991. The next prime is 14347019. The reversal of 14347008 is 80074341.

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 11 ways as a sum of consecutive naturals, for example, 29713 + ... + 30191.

Almost surely, 214347008 is an apocalyptic number.

14347008 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 14347008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320480).

14347008 is an abundant number, since it is smaller than the sum of its proper divisors (30293952).

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

14347008 is a wasteful number, since it uses less digits than its factorization.

14347008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14347008 is about 3787.7444475571. The cubic root of 14347008 is about 242.9892796165.

The spelling of 14347008 in words is "fourteen million, three hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 479 576 624 768 832 936 958 1152 1248 1437 1664 1872 1916 2304 2496 2874 3328 3744 3832 4311 4992 5748 6227 7488 7664 8622 9984 11496 12454 14976 15328 17244 18681 22992 24908 29952 30656 34488 37362 45984 49816 56043 61312 68976 74724 91968 99632 112086 122624 137952 149448 183936 199264 224172 275904 298896 367872 398528 448344 551808 597792 797056 896688 1103616 1195584 1594112 1793376 2391168 3586752 4782336 7173504 14347008