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14300964 = 2232419689
BaseRepresentation
bin110110100011…
…011100100100
3222220120020100
4312203130210
512130112324
61230304100
7232361526
oct66433444
928816210
1014300964
118088587
124958030
132c69412
141c83a16
1513c74c9
hexda3724

14300964 has 36 divisors (see below), whose sum is σ = 37035180. Its totient is φ = 4650240.

The previous prime is 14300953. The next prime is 14300969. The reversal of 14300964 is 46900341.

14300964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 10614564 = 1920^2 + 3258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (14300969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3369 + ... + 6320.

It is an arithmetic number, because the mean of its divisors is an integer number (1028755).

Almost surely, 214300964 is an apocalyptic number.

It is an amenable number.

14300964 is an abundant number, since it is smaller than the sum of its proper divisors (22734216).

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

14300964 is a wasteful number, since it uses less digits than its factorization.

14300964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9740 (or 9735 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 14300964 is about 3781.6615395881. The cubic root of 14300964 is about 242.7290583779.

The spelling of 14300964 in words is "fourteen million, three hundred thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 9689 19378 29067 38756 58134 87201 116268 174402 348804 397249 794498 1191747 1588996 2383494 3575241 4766988 7150482 14300964