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203204240 = 24519433109
BaseRepresentation
bin11000001110010…
…10011010010000
3112011100211210222
430013022122100
5404010013430
632055212212
75015131121
oct1407123220
9464324728
10203204240
11a4781398
1258077068
13331398c5
141cdb8048
1512c8d9e5
hexc1ca690

203204240 has 80 divisors (see below), whose sum is σ = 509044800. Its totient is φ = 75188736.

The previous prime is 203204227. The next prime is 203204249. The reversal of 203204240 is 42402302.

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

It is not an unprimeable number, because it can be changed into a prime (203204249) 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, 63806 + ... + 66914.

It is an arithmetic number, because the mean of its divisors is an integer number (6363060).

Almost surely, 2203204240 is an apocalyptic number.

203204240 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 203204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254522400).

203204240 is an abundant number, since it is smaller than the sum of its proper divisors (305840560).

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

203204240 is a wasteful number, since it uses less digits than its factorization.

203204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 203204240 is about 14254.9724657749. The cubic root of 203204240 is about 587.9101008688.

Adding to 203204240 its reverse (42402302), we get a palindrome (245606542).

The spelling of 203204240 in words is "two hundred three million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 380 430 688 760 817 860 1520 1634 1720 3109 3268 3440 4085 6218 6536 8170 12436 13072 15545 16340 24872 31090 32680 49744 59071 62180 65360 118142 124360 133687 236284 248720 267374 295355 472568 534748 590710 668435 945136 1069496 1181420 1336870 2138992 2362840 2540053 2673740 4725680 5080106 5347480 10160212 10694960 12700265 20320424 25400530 40640848 50801060 101602120 203204240