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14354664 = 23317151233
BaseRepresentation
bin110110110000…
…100011101000
31000000021220020
4312300203220
512133322124
61231400440
7233004222
oct66604350
930007806
1014354664
118114965
124983120
132c879ac
141c99412
1513d8379
hexdb08e8

14354664 has 64 divisors (see below), whose sum is σ = 38413440. Its totient is φ = 4454400.

The previous prime is 14354663. The next prime is 14354687. The reversal of 14354664 is 46645341.

It is not an unprimeable number, because it can be changed into a prime (14354663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61492 + ... + 61724.

It is an arithmetic number, because the mean of its divisors is an integer number (600210).

Almost surely, 214354664 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 14354664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206720).

14354664 is an abundant number, since it is smaller than the sum of its proper divisors (24058776).

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

14354664 is a wasteful number, since it uses less digits than its factorization.

14354664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 14354664 is about 3788.7549406104. The cubic root of 14354664 is about 243.0324940882.

The spelling of 14354664 in words is "fourteen million, three hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 151 204 233 302 408 453 466 604 699 906 932 1208 1398 1812 1864 2567 2796 3624 3961 5134 5592 7701 7922 10268 11883 15402 15844 20536 23766 30804 31688 35183 47532 61608 70366 95064 105549 140732 211098 281464 422196 598111 844392 1196222 1794333 2392444 3588666 4784888 7177332 14354664