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14834430 = 23251331409
BaseRepresentation
bin111000100101…
…101011111110
31000220200000100
4320211223332
512244200210
61245541530
7240043032
oct70455376
930820010
1014834430
118412366
124b748a6
1330c5190
141d821c2
1514805c0
hexe25afe

14834430 has 96 divisors (see below), whose sum is σ = 42981120. Its totient is φ = 3525120.

The previous prime is 14834419. The next prime is 14834437. The reversal of 14834430 is 3443841.

It is a junction number, because it is equal to n+sod(n) for n = 14834394 and 14834403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14834437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36066 + ... + 36474.

It is an arithmetic number, because the mean of its divisors is an integer number (447720).

Almost surely, 214834430 is an apocalyptic number.

14834430 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 14834430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490560).

14834430 is an abundant number, since it is smaller than the sum of its proper divisors (28146690).

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

14834430 is a wasteful number, since it uses less digits than its factorization.

14834430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 14834430 is about 3851.5490390231. The cubic root of 14834430 is about 245.7104465456.

The spelling of 14834430 in words is "fourteen million, eight hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 409 465 558 585 806 818 930 1170 1209 1227 1395 2015 2045 2418 2454 2790 3627 3681 4030 4090 5317 6045 6135 7254 7362 10634 12090 12270 12679 15951 18135 18405 25358 26585 31902 36270 36810 38037 47853 53170 63395 76074 79755 95706 114111 126790 159510 164827 190185 228222 239265 329654 380370 478530 494481 570555 824135 988962 1141110 1483443 1648270 2472405 2966886 4944810 7417215 14834430