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350282064 = 243112292897
BaseRepresentation
bin10100111000001…
…110000101010000
3220102010011122210
4110320032011100
51204133011224
654431432120
711452230336
oct2470160520
9812104583
10350282064
1116a7a8110
1299385640
13577546c2
1434741b56
1520b42429
hex14e0e150

350282064 has 80 divisors (see below), whose sum is σ = 991811520. Its totient is φ = 105646080.

The previous prime is 350282063. The next prime is 350282077. The reversal of 350282064 is 460282053.

350282064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350282063) 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, 119464 + ... + 122360.

It is an arithmetic number, because the mean of its divisors is an integer number (12397644).

Almost surely, 2350282064 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 350282064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495905760).

350282064 is an abundant number, since it is smaller than the sum of its proper divisors (641529456).

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

350282064 is a wasteful number, since it uses less digits than its factorization.

350282064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 350282064 is about 18715.8238931659. The cubic root of 350282064 is about 704.9191356373.

The spelling of 350282064 in words is "three hundred fifty million, two hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 229 264 458 528 687 916 1374 1832 2519 2748 2897 3664 5038 5496 5794 7557 8691 10076 10992 11588 15114 17382 20152 23176 30228 31867 34764 40304 46352 60456 63734 69528 95601 120912 127468 139056 191202 254936 382404 509872 663413 764808 1326826 1529616 1990239 2653652 3980478 5307304 7297543 7960956 10614608 14595086 15921912 21892629 29190172 31843824 43785258 58380344 87570516 116760688 175141032 350282064