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2004345 = 34572101
BaseRepresentation
bin111101001010101111001
310202211110000
413221111321
51003114340
6110543213
723015400
oct7512571
93684400
102004345
111149992
12807b09
13552405
143a2637
15298d30
hex1e9579

2004345 has 60 divisors (see below), whose sum is σ = 4220964. Its totient is φ = 907200.

The previous prime is 2004341. The next prime is 2004347. The reversal of 2004345 is 5434002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1432809 + 571536 = 1197^2 + 756^2 .

It is not a de Polignac number, because 2004345 - 22 = 2004341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19795 + ... + 19895.

22004345 is an apocalyptic number.

It is an amenable number.

2004345 is an abundant number, since it is smaller than the sum of its proper divisors (2216619).

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

2004345 is a wasteful number, since it uses less digits than its factorization.

2004345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2004345 is about 1415.7489184174. The cubic root of 2004345 is about 126.0832782794.

Adding to 2004345 its reverse (5434002), we get a palindrome (7438347).

The spelling of 2004345 in words is "two million, four thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 101 105 135 147 189 245 303 315 405 441 505 567 707 735 909 945 1323 1515 2121 2205 2727 2835 3535 3969 4545 4949 6363 6615 8181 10605 13635 14847 19089 19845 24745 31815 40905 44541 57267 74235 95445 133623 222705 286335 400869 668115 2004345