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334484568 = 2332111073947
BaseRepresentation
bin10011111011111…
…101010001011000
3212022101120120100
4103323331101120
51141112001233
653105055400
711201033445
oct2373752130
9768346510
10334484568
11161898230
1294027560
13543b3082
14325cc9cc
151e571813
hex13efd458

334484568 has 96 divisors (see below), whose sum is σ = 997738560. Its totient is φ = 100386240.

The previous prime is 334484567. The next prime is 334484581. The reversal of 334484568 is 865484433.

334484568 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 84 + 568 = 666.

334484568 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 2×3344845682 = 223759852460293248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334484567) 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 23 ways as a sum of consecutive naturals, for example, 82771 + ... + 86717.

It is an arithmetic number, because the mean of its divisors is an integer number (10393110).

Almost surely, 2334484568 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 334484568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498869280).

334484568 is an abundant number, since it is smaller than the sum of its proper divisors (663253992).

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

334484568 is a wasteful number, since it uses less digits than its factorization.

334484568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4070 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 334484568 is about 18288.9192682345. The cubic root of 334484568 is about 694.1585787050.

The spelling of 334484568 in words is "three hundred thirty-four million, four hundred eighty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 198 214 264 321 396 428 642 792 856 963 1177 1284 1926 2354 2568 3531 3852 3947 4708 7062 7704 7894 9416 10593 11841 14124 15788 21186 23682 28248 31576 35523 42372 43417 47364 71046 84744 86834 94728 130251 142092 173668 260502 284184 347336 390753 422329 521004 781506 844658 1042008 1266987 1563012 1689316 2533974 3126024 3378632 3800961 4645619 5067948 7601922 9291238 10135896 13936857 15203844 18582476 27873714 30407688 37164952 41810571 55747428 83621142 111494856 167242284 334484568