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14969304 = 2332724243
BaseRepresentation
bin111001000110…
…100111011000
31001011112000200
4321012213120
512313004204
61252502200
7241144200
oct71064730
931145020
1014969304
1184a4729
12501a960
13314169c
141db9400
1514aa539
hexe469d8

14969304 has 72 divisors (see below), whose sum is σ = 47172060. Its totient is φ = 4275936.

The previous prime is 14969291. The next prime is 14969309. The reversal of 14969304 is 40396941.

14969304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14969309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1407 + ... + 5649.

Almost surely, 214969304 is an apocalyptic number.

14969304 is a gapful number since it is divisible by the number (14) 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 14969304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23586030).

14969304 is an abundant number, since it is smaller than the sum of its proper divisors (32202756).

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

14969304 is a wasteful number, since it uses less digits than its factorization.

14969304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 14969304 is about 3869.0184801833. The cubic root of 14969304 is about 246.4528640018.

The spelling of 14969304 in words is "fourteen million, nine hundred sixty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 4243 8486 12729 16972 25458 29701 33944 38187 50916 59402 76374 89103 101832 118804 152748 178206 207907 237608 267309 305496 356412 415814 534618 623721 712824 831628 1069236 1247442 1663256 1871163 2138472 2494884 3742326 4989768 7484652 14969304