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14354064 = 2433149223
BaseRepresentation
bin110110110000…
…011010010000
31000000021002000
4312300122100
512133312224
61231354000
7233002404
oct66603220
930007060
1014354064
11811446a
124982900
132c8763a
141c99104
1513d80c9
hexdb0690

14354064 has 80 divisors (see below), whose sum is σ = 41664000. Its totient is φ = 4731264.

The previous prime is 14354033. The next prime is 14354083. The reversal of 14354064 is 46045341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64257 + ... + 64479.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 214354064 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 14354064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832000).

14354064 is an abundant number, since it is smaller than the sum of its proper divisors (27309936).

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

14354064 is a wasteful number, since it uses less digits than its factorization.

14354064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 14354064 is about 3788.6757580981. The cubic root of 14354064 is about 243.0291079291.

The spelling of 14354064 in words is "fourteen million, three hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 216 223 298 432 446 447 596 669 892 894 1192 1338 1341 1784 1788 2007 2384 2676 2682 3568 3576 4014 4023 5352 5364 6021 7152 8028 8046 10704 10728 12042 16056 16092 21456 24084 32112 32184 33227 48168 64368 66454 96336 99681 132908 199362 265816 299043 398724 531632 598086 797448 897129 1196172 1594896 1794258 2392344 3588516 4784688 7177032 14354064