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335274912 = 25327198753
BaseRepresentation
bin10011111110111…
…110001110100000
3212100212201201100
4103332332032200
51141312244122
653134034400
711210534610
oct2376761640
9770781640
10335274912
11162288005
1294348a00
13545cba2b
1432756a40
151e67aaac
hex13fbe3a0

335274912 has 144 divisors (see below), whose sum is σ = 1147124160. Its totient is φ = 90740736.

The previous prime is 335274899. The next prime is 335274937. The reversal of 335274912 is 219472533.

335274912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3352749122 = 224818533233215488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33928 + ... + 42680.

It is an arithmetic number, because the mean of its divisors is an integer number (7966140).

Almost surely, 2335274912 is an apocalyptic number.

335274912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335274912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573562080).

335274912 is an abundant number, since it is smaller than the sum of its proper divisors (811849248).

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

335274912 is a wasteful number, since it uses less digits than its factorization.

335274912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8795 (or 8784 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 335274912 is about 18310.5137011499. The cubic root of 335274912 is about 694.7048844514.

The spelling of 335274912 in words is "three hundred thirty-five million, two hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 8753 9576 12768 17506 19152 26259 35012 38304 52518 61271 70024 78777 105036 122542 140048 157554 166307 183813 210072 245084 280096 315108 332614 367626 420144 490168 498921 551439 630216 665228 735252 840288 980336 997842 1102878 1164149 1260432 1330456 1470504 1496763 1960672 1995684 2205756 2328298 2520864 2660912 2941008 2993526 3492447 3991368 4411512 4656596 5321824 5882016 5987052 6984894 7982736 8823024 9313192 10477341 11974104 13969788 15965472 17646048 18626384 20954682 23948208 27939576 37252768 41909364 47896416 55879152 83818728 111758304 167637456 335274912