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14354010 = 236511179
BaseRepresentation
bin110110110000…
…011001011010
31000000021000000
4312300121122
512133312020
61231353430
7233002266
oct66603132
930007000
1014354010
118114420
124982876
132c875c8
141c990a6
1513d8090
hexdb065a

14354010 has 112 divisors (see below), whose sum is σ = 42495840. Its totient is φ = 3460320.

The previous prime is 14354003. The next prime is 14354027. The reversal of 14354010 is 1045341.

It is a happy number.

14354010 is digitally balanced in base 2, because in such base 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80101 + ... + 80279.

Almost surely, 214354010 is an apocalyptic number.

14354010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14354010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21247920).

14354010 is an abundant number, since it is smaller than the sum of its proper divisors (28141830).

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

14354010 is a wasteful number, since it uses less digits than its factorization.

14354010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14354010 is about 3788.6686315908. The cubic root of 14354010 is about 243.0288031701.

Adding to 14354010 its reverse (1045341), we get a palindrome (15399351).

It can be divided in two parts, 1435 and 4010, that added together give a palindrome (5445).

The spelling of 14354010 in words is "fourteen million, three hundred fifty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 179 198 243 270 297 330 358 405 486 495 537 594 729 810 891 895 990 1074 1215 1458 1485 1611 1782 1790 1969 2430 2673 2685 2970 3222 3645 3938 4455 4833 5346 5370 5907 7290 8019 8055 8910 9666 9845 11814 13365 14499 16038 16110 17721 19690 24165 26730 28998 29535 35442 40095 43497 48330 53163 59070 72495 80190 86994 88605 106326 130491 144990 159489 177210 217485 260982 265815 318978 434970 478467 531630 652455 797445 956934 1304910 1435401 1594890 2392335 2870802 4784670 7177005 14354010