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64444314 = 231117193023
BaseRepresentation
bin1111010111010…
…1011110011010
311111021002222110
43311311132122
5112444204224
610221133150
71411524204
oct365653632
9144232873
1064444314
1133416a70
12196ba1b6
1310474b3c
1487b7774
1559ce929
hex3d7579a

64444314 has 64 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 17406720.

The previous prime is 64444313. The next prime is 64444339. The reversal of 64444314 is 41344446.

It is not an unprimeable number, because it can be changed into a prime (64444313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19807 + ... + 22829.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 264444314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64444314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

64444314 is an abundant number, since it is smaller than the sum of its proper divisors (92319846).

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

64444314 is a wasteful number, since it uses less digits than its factorization.

64444314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075.

The product of its digits is 18432, while the sum is 30.

The square root of 64444314 is about 8027.7215945746. The cubic root of 64444314 is about 400.9235203013.

The spelling of 64444314 in words is "sixty-four million, four hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 374 418 561 627 646 969 1122 1254 1938 3023 3553 6046 7106 9069 10659 18138 21318 33253 51391 57437 66506 99759 102782 114874 154173 172311 199518 308346 344622 565301 631807 976429 1130602 1263614 1695903 1895421 1952858 2929287 3391806 3790842 5858574 10740719 21481438 32222157 64444314