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14084352 = 28326113
BaseRepresentation
bin110101101110…
…100100000000
3222111120002200
4311232210000
512101144402
61221513200
7230500152
oct65564400
928446080
1014084352
117a4a867
124872800
132bc1949
141c28ad2
15138321c
hexd6e900

14084352 has 54 divisors (see below), whose sum is σ = 40615302. Its totient is φ = 4694016.

The previous prime is 14084327. The next prime is 14084393. The reversal of 14084352 is 25348041.

It can be written as a sum of positive squares in only one way, i.e., 12278016 + 1806336 = 3504^2 + 1344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 753 + ... + 5360.

Almost surely, 214084352 is an apocalyptic number.

14084352 is a gapful number since it is divisible by the number (12) 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 14084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307651).

14084352 is an abundant number, since it is smaller than the sum of its proper divisors (26530950).

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

14084352 is an equidigital number, since it uses as much as digits as its factorization.

14084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 14084352 is about 3752.9124690032. The cubic root of 14084352 is about 241.4973058866.

The spelling of 14084352 in words is "fourteen million, eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6113 12226 18339 24452 36678 48904 55017 73356 97808 110034 146712 195616 220068 293424 391232 440136 586848 782464 880272 1173696 1564928 1760544 2347392 3521088 4694784 7042176 14084352