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203400 = 233252113
BaseRepresentation
bin110001101010001000
3101100000100
4301222020
523002100
64205400
71505001
oct615210
9340010
10203400
111298aa
1299860
1371772
14541a8
1540400
hex31a88

203400 has 72 divisors (see below), whose sum is σ = 689130. Its totient is φ = 53760.

The previous prime is 203393. The next prime is 203417. The reversal of 203400 is 4302.

203400 = T109 + T110 + ... + T135.

It is a Cunningham number, because it is equal to 4512-1.

It can be written as a sum of positive squares in 3 ways, for example, as 86436 + 116964 = 294^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

203400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1744 + ... + 1856.

2203400 is an apocalyptic number.

203400 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 203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344565).

203400 is an abundant number, since it is smaller than the sum of its proper divisors (485730).

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

203400 is a wasteful number, since it uses less digits than its factorization.

203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 203400 is about 450.9988913512. The cubic root of 203400 is about 58.8098831090.

Adding to 203400 its reverse (4302), we get a palindrome (207702).

The spelling of 203400 in words is "two hundred three thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 113 120 150 180 200 225 226 300 339 360 450 452 565 600 678 900 904 1017 1130 1356 1695 1800 2034 2260 2712 2825 3390 4068 4520 5085 5650 6780 8136 8475 10170 11300 13560 16950 20340 22600 25425 33900 40680 50850 67800 101700 203400