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14433640 = 2351341677
BaseRepresentation
bin110111000011…
…110101101000
31000011022020021
4313003311220
512143334030
61233210224
7233453404
oct67036550
930138207
1014433640
118169231
124a00974
132cb4920
141cba104
15140197a
hexdc3d68

14433640 has 64 divisors (see below), whose sum is σ = 35879760. Its totient is φ = 5191680.

The previous prime is 14433611. The next prime is 14433647. The reversal of 14433640 is 4633441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4485924 + 9947716 = 2118^2 + 3154^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14433647) 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 15 ways as a sum of consecutive naturals, for example, 20982 + ... + 21658.

Almost surely, 214433640 is an apocalyptic number.

14433640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14433640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17939880).

14433640 is an abundant number, since it is smaller than the sum of its proper divisors (21446120).

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

14433640 is a wasteful number, since it uses less digits than its factorization.

14433640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 14433640 is about 3799.1630657291. The cubic root of 14433640 is about 243.4773818180.

The spelling of 14433640 in words is "fourteen million, four hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 677 820 1066 1354 1640 2132 2665 2708 3385 4264 5330 5416 6770 8801 10660 13540 17602 21320 27080 27757 35204 44005 55514 70408 88010 111028 138785 176020 222056 277570 352040 360841 555140 721682 1110280 1443364 1804205 2886728 3608410 7216820 14433640