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203342000 = 2453293347
BaseRepresentation
bin11000001111011…
…00000010110000
3112011121211210012
430013230002300
5404023421000
632102154052
75016243551
oct1407540260
9464554705
10203342000
11a4865944
1258122928
1333187514
141d012328
1512cb9735
hexc1ec0b0

203342000 has 80 divisors (see below), whose sum is σ = 494780832. Its totient is φ = 80825600.

The previous prime is 203341991. The next prime is 203342003. The reversal of 203342000 is 243302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2033420003 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (203342003) 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 15 ways as a sum of consecutive naturals, for example, 585827 + ... + 586173.

Almost surely, 2203342000 is an apocalyptic number.

203342000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247390416).

203342000 is an abundant number, since it is smaller than the sum of its proper divisors (291438832).

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

203342000 is a wasteful number, since it uses less digits than its factorization.

203342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 203342000 is about 14259.8036452119. The cubic root of 203342000 is about 588.0429265096.

Adding to 203342000 its reverse (243302), we get a palindrome (203585302).

The spelling of 203342000 in words is "two hundred three million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 293 347 400 500 586 694 1000 1172 1388 1465 1735 2000 2344 2776 2930 3470 4688 5552 5860 6940 7325 8675 11720 13880 14650 17350 23440 27760 29300 34700 36625 43375 58600 69400 73250 86750 101671 117200 138800 146500 173500 203342 293000 347000 406684 508355 586000 694000 813368 1016710 1626736 2033420 2541775 4066840 5083550 8133680 10167100 12708875 20334200 25417750 40668400 50835500 101671000 203342000