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14490384 = 2433741199
BaseRepresentation
bin110111010001…
…101100010000
31000021012001220
4313101230100
512202143014
61234325040
7234111006
oct67215420
930235056
1014490384
1181a7927
124a29780
1330046bc
141cd2a76
1514136a9
hexdd1b10

14490384 has 80 divisors (see below), whose sum is σ = 39580800. Its totient is φ = 4561920.

The previous prime is 14490383. The next prime is 14490397. The reversal of 14490384 is 48309441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14490383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72717 + ... + 72915.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 214490384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14490384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19790400).

14490384 is an abundant number, since it is smaller than the sum of its proper divisors (25090416).

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

14490384 is a wasteful number, since it uses less digits than its factorization.

14490384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 14490384 is about 3806.6237008667. The cubic root of 14490384 is about 243.7960312803.

The spelling of 14490384 in words is "fourteen million, four hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 199 222 246 296 328 398 444 492 592 597 656 796 888 984 1194 1517 1592 1776 1968 2388 3034 3184 4551 4776 6068 7363 8159 9102 9552 12136 14726 16318 18204 22089 24272 24477 29452 32636 36408 44178 48954 58904 65272 72816 88356 97908 117808 130544 176712 195816 301883 353424 391632 603766 905649 1207532 1811298 2415064 3622596 4830128 7245192 14490384