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2083338 = 232115741
BaseRepresentation
bin111111100101000001010
310220211210200
413330220022
51013131323
6112353030
723464605
oct7745012
93824720
102083338
1111a3274
12845776
1357c35a
143c333c
152b2443
hex1fca0a

2083338 has 12 divisors (see below), whose sum is σ = 4513938. Its totient is φ = 694440.

The previous prime is 2083321. The next prime is 2083339. The reversal of 2083338 is 8333802.

It can be written as a sum of positive squares in only one way, i.e., 2082249 + 1089 = 1443^2 + 33^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2083339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57853 + ... + 57888.

22083338 is an apocalyptic number.

2083338 is an abundant number, since it is smaller than the sum of its proper divisors (2430600).

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

2083338 is a wasteful number, since it uses less digits than its factorization.

2083338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115749 (or 115746 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2083338 is about 1443.3772895539. The cubic root of 2083338 is about 127.7183340951.

The spelling of 2083338 in words is "two million, eighty-three thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 115741 231482 347223 694446 1041669 2083338