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14744394 = 2327273229
BaseRepresentation
bin111000001111…
…101101001010
31000202002111200
4320033231022
512233310034
61244005030
7236216400
oct70175512
930662450
1014744394
118360755
124b30776
1330931c2
141d5b470
151463a99
hexe0fb4a

14744394 has 72 divisors (see below), whose sum is σ = 37835460. Its totient is φ = 4136832.

The previous prime is 14744393. The next prime is 14744413. The reversal of 14744394 is 49344741.

It can be written as a sum of positive squares in 2 ways, for example, as 13505625 + 1238769 = 3675^2 + 1113^2 .

It is not an unprimeable number, because it can be changed into a prime (14744393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64272 + ... + 64500.

Almost surely, 214744394 is an apocalyptic number.

14744394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14744394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917730).

14744394 is an abundant number, since it is smaller than the sum of its proper divisors (23091066).

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

14744394 is a wasteful number, since it uses less digits than its factorization.

14744394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 14744394 is about 3839.8429655391. The cubic root of 14744394 is about 245.2123329321.

The spelling of 14744394 in words is "fourteen million, seven hundred forty-four thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 73 98 126 146 147 219 229 294 438 441 458 511 657 687 882 1022 1314 1374 1533 1603 2061 3066 3206 3577 4122 4599 4809 7154 9198 9618 10731 11221 14427 16717 21462 22442 28854 32193 33434 33663 50151 64386 67326 100302 100989 117019 150453 201978 234038 300906 351057 702114 819133 1053171 1638266 2106342 2457399 4914798 7372197 14744394