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14835414 = 23112329337
BaseRepresentation
bin111000100101…
…111011010110
31000220201100210
4320211323112
512244213124
61245550250
7240045636
oct70457326
930821323
1014835414
118413080
124b75386
1330c5769
141d826c6
151480a29
hexe25ed6

14835414 has 64 divisors (see below), whose sum is σ = 35043840. Its totient is φ = 4139520.

The previous prime is 14835413. The next prime is 14835419. The reversal of 14835414 is 41453841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14835413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43854 + ... + 44190.

It is an arithmetic number, because the mean of its divisors is an integer number (547560).

Almost surely, 214835414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14835414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521920).

14835414 is an abundant number, since it is smaller than the sum of its proper divisors (20208426).

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

14835414 is a wasteful number, since it uses less digits than its factorization.

14835414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405.

The product of its digits is 7680, while the sum is 30.

The square root of 14835414 is about 3851.6767777164. The cubic root of 14835414 is about 245.7158792616.

The spelling of 14835414 in words is "fourteen million, eight hundred thirty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 138 174 253 319 337 506 638 667 674 759 957 1011 1334 1518 1914 2001 2022 3707 4002 7337 7414 7751 9773 11121 14674 15502 19546 22011 22242 23253 29319 44022 46506 58638 85261 107503 170522 215006 224779 255783 322509 449558 511566 645018 674337 1348674 2472569 4945138 7417707 14835414