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14744064 = 29329331
BaseRepresentation
bin111000001111…
…101000000000
31000202002001110
4320033220000
512233302224
61244003320
7236215416
oct70175000
930662043
1014744064
118360485
124b30540
133092cca
141d5b2b6
151463929
hexe0fa00

14744064 has 80 divisors (see below), whose sum is σ = 40756320. Its totient is φ = 4730880.

The previous prime is 14744063. The next prime is 14744069. The reversal of 14744064 is 46044741.

It is not an unprimeable number, because it can be changed into a prime (14744063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44379 + ... + 44709.

It is an arithmetic number, because the mean of its divisors is an integer number (509454).

Almost surely, 214744064 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 14744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378160).

14744064 is an abundant number, since it is smaller than the sum of its proper divisors (26012256).

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

14744064 is an equidigital number, since it uses as much as digits as its factorization.

14744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 14744064 is about 3839.7999947914. The cubic root of 14744064 is about 245.2105035210.

The spelling of 14744064 in words is "fourteen million, seven hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 331 348 384 464 512 662 696 768 928 993 1324 1392 1536 1856 1986 2648 2784 3712 3972 5296 5568 7424 7944 9599 10592 11136 14848 15888 19198 21184 22272 28797 31776 38396 42368 44544 57594 63552 76792 84736 115188 127104 153584 169472 230376 254208 307168 460752 508416 614336 921504 1228672 1843008 2457344 3686016 4914688 7372032 14744064