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335105405 = 5732693413
BaseRepresentation
bin10011111110010…
…100110101111101
3212100120010012022
4103332110311331
51141241333110
653130245525
711206230455
oct2376246575
9770503168
10335105405
11162181718
12942868a5
135456c82b
1432710d65
151e645755
hex13f94d7d

335105405 has 16 divisors (see below), whose sum is σ = 409270320. Its totient is φ = 263351808.

The previous prime is 335105401. The next prime is 335105417. The reversal of 335105405 is 504501533.

It can be written as a sum of positive squares in 8 ways, for example, as 252004 + 334853401 = 502^2 + 18299^2 .

It is a cyclic number.

It is not a de Polignac number, because 335105405 - 22 = 335105401 is a prime.

It is a super-2 number, since 2×3351054052 = 224591264920428050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335105401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96479 + ... + 99891.

It is an arithmetic number, because the mean of its divisors is an integer number (25579395).

Almost surely, 2335105405 is an apocalyptic number.

It is an amenable number.

335105405 is a deficient number, since it is larger than the sum of its proper divisors (74164915).

335105405 is a wasteful number, since it uses less digits than its factorization.

335105405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760.

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 335105405 is about 18305.8844364319. The cubic root of 335105405 is about 694.5877893082.

Adding to 335105405 its reverse (504501533), we get a palindrome (839606938).

The spelling of 335105405 in words is "three hundred thirty-five million, one hundred five thousand, four hundred five".

Divisors: 1 5 73 269 365 1345 3413 17065 19637 98185 249149 918097 1245745 4590485 67021081 335105405