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14084364 = 22372171409
BaseRepresentation
bin110101101110…
…100100001100
3222111120010010
4311232210030
512101144424
61221513220
7230500200
oct65564414
928446103
1014084364
117a4a878
124872810
132bc1958
141c28b00
151383229
hexd6e90c

14084364 has 72 divisors (see below), whose sum is σ = 40506480. Its totient is φ = 3784704.

The previous prime is 14084327. The next prime is 14084393. The reversal of 14084364 is 46348041.

14084364 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 is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9292 + ... + 10700.

It is an arithmetic number, because the mean of its divisors is an integer number (562590).

Almost surely, 214084364 is an apocalyptic number.

14084364 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 14084364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253240).

14084364 is an abundant number, since it is smaller than the sum of its proper divisors (26422116).

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

14084364 is a wasteful number, since it uses less digits than its factorization.

14084364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 14084364 is about 3752.9140677612. The cubic root of 14084364 is about 241.4973744726.

The spelling of 14084364 in words is "fourteen million, eighty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1409 1428 1666 2499 2818 3332 4227 4998 5636 8454 9863 9996 16908 19726 23953 29589 39452 47906 59178 69041 71859 95812 118356 138082 143718 167671 207123 276164 287436 335342 414246 503013 670684 828492 1006026 1173697 2012052 2347394 3521091 4694788 7042182 14084364