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14384064 = 263193943
BaseRepresentation
bin110110110111…
…101111000000
31000001210020010
4312313233000
512140242224
61232144520
7233156022
oct66675700
930053203
1014384064
118134a62
124998140
132c981a6
141ca6012
1513e1e29
hexdb7bc0

14384064 has 56 divisors (see below), whose sum is σ = 40071040. Its totient is φ = 4541184.

The previous prime is 14384017. The next prime is 14384077. The reversal of 14384064 is 46048341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1677 + ... + 5619.

Almost surely, 214384064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035520).

14384064 is an abundant number, since it is smaller than the sum of its proper divisors (25686976).

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

14384064 is a wasteful number, since it uses less digits than its factorization.

14384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3967 counting only the distinct ones).

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

The square root of 14384064 is about 3792.6328585825. The cubic root of 14384064 is about 243.1983004267.

The spelling of 14384064 in words is "fourteen million, three hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 3943 7886 11829 15772 23658 31544 47316 63088 74917 94632 126176 149834 189264 224751 252352 299668 378528 449502 599336 757056 899004 1198672 1798008 2397344 3596016 4794688 7192032 14384064