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335798064 = 243271312543
BaseRepresentation
bin10100000000111…
…101111100110000
3212101212022100100
4110000331330300
51141431014224
653153152400
711215144050
oct2400757460
9771768310
10335798064
11162605068
129455b700
1354752ba4
1432851560
151e730ac9
hex1403df30

335798064 has 120 divisors (see below), whose sum is σ = 1082644992. Its totient is φ = 95172480.

The previous prime is 335798041. The next prime is 335798069. The reversal of 335798064 is 460897533.

335798064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3357980642 = 225520679572296192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335798069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130777 + ... + 133319.

Almost surely, 2335798064 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 335798064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541322496).

335798064 is an abundant number, since it is smaller than the sum of its proper divisors (746846928).

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

335798064 is a wasteful number, since it uses less digits than its factorization.

335798064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 335798064 is about 18324.7936959738. The cubic root of 335798064 is about 695.0660282661.

The spelling of 335798064 in words is "three hundred thirty-five million, seven hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 131 144 168 252 262 336 393 504 524 786 917 1008 1048 1179 1572 1834 2096 2358 2543 2751 3144 3668 4716 5086 5502 6288 7336 7629 8253 9432 10172 11004 14672 15258 16506 17801 18864 20344 22008 22887 30516 33012 35602 40688 44016 45774 53403 61032 66024 71204 91548 106806 122064 132048 142408 160209 183096 213612 284816 320418 333133 366192 427224 640836 666266 854448 999399 1281672 1332532 1998798 2331931 2563344 2665064 2998197 3997596 4663862 5330128 5996394 6995793 7995192 9327724 11992788 13991586 15990384 18655448 20987379 23985576 27983172 37310896 41974758 47971152 55966344 83949516 111932688 167899032 335798064