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203420700 = 223352747229
BaseRepresentation
bin11000001111111…
…11010000011100
3112011202211202000
430013333100130
5404033430300
632104002300
75020022160
oct1407772034
9464684660
10203420700
11a4909a8a
1258160390
13331b42a2
141d032ca0
1512cd2c00
hexc1ff41c

203420700 has 288 divisors, whose sum is σ = 766617600. Its totient is φ = 45308160.

The previous prime is 203420699. The next prime is 203420719. The reversal of 203420700 is 7024302.

It is a happy number.

203420700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 888186 + ... + 888414.

Almost surely, 2203420700 is an apocalyptic number.

203420700 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 203420700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383308800).

203420700 is an abundant number, since it is smaller than the sum of its proper divisors (563196900).

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

203420700 is a wasteful number, since it uses less digits than its factorization.

203420700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 203420700 is about 14262.5628832970. The cubic root of 203420700 is about 588.1187806685.

It can be divided in two parts, 203 and 420700, that added together give a triangular number (420903 = T917).

The spelling of 203420700 in words is "two hundred three million, four hundred twenty thousand, seven hundred".