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2005353 = 327139229
BaseRepresentation
bin111101001100101101001
310202212211100
413221211221
51003132403
6110552013
723021340
oct7514551
93685740
102005353
11114a719
12808609
135529cc
143a2b57
152992a3
hex1e9969

2005353 has 24 divisors (see below), whose sum is σ = 3348800. Its totient is φ = 1132704.

The previous prime is 2005343. The next prime is 2005369. The reversal of 2005353 is 3535002.

It is not a de Polignac number, because 2005353 - 213 = 1997161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2005343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8643 + ... + 8871.

22005353 is an apocalyptic number.

It is an amenable number.

2005353 is a deficient number, since it is larger than the sum of its proper divisors (1343447).

2005353 is a wasteful number, since it uses less digits than its factorization.

2005353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 2005353 is about 1416.1048689981. The cubic root of 2005353 is about 126.1044108098.

The spelling of 2005353 in words is "two million, five thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 63 139 229 417 687 973 1251 1603 2061 2919 4809 8757 14427 31831 95493 222817 286479 668451 2005353