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203034440 = 23572711459
BaseRepresentation
bin11000001101000…
…00111101001000
3112011001012220002
430012200331020
5403434100230
632051422132
75013523100
oct1406407510
9464035802
10203034440
11a4675864
1257bb4948
13330aa52b
141cd72200
1512c58545
hexc1a0f48

203034440 has 96 divisors (see below), whose sum is σ = 539265600. Its totient is φ = 68584320.

The previous prime is 203034421. The next prime is 203034463. The reversal of 203034440 is 44430302.

It is a happy number.

It is a super-2 number, since 2×2030344402 = 82445967652227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138431 + ... + 139889.

It is an arithmetic number, because the mean of its divisors is an integer number (5617350).

Almost surely, 2203034440 is an apocalyptic number.

203034440 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 203034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269632800).

203034440 is an abundant number, since it is smaller than the sum of its proper divisors (336231160).

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

203034440 is a wasteful number, since it uses less digits than its factorization.

203034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 203034440 is about 14249.0154045815. The cubic root of 203034440 is about 587.7463002289.

Adding to 203034440 its reverse (44430302), we get a palindrome (247464742).

The spelling of 203034440 in words is "two hundred three million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 71 98 140 142 196 245 280 284 355 392 490 497 568 710 980 994 1420 1459 1960 1988 2485 2840 2918 3479 3976 4970 5836 6958 7295 9940 10213 11672 13916 14590 17395 19880 20426 27832 29180 34790 40852 51065 58360 69580 71491 81704 102130 103589 139160 142982 204260 207178 285964 357455 408520 414356 517945 571928 714910 725123 828712 1035890 1429820 1450246 2071780 2859640 2900492 3625615 4143560 5075861 5800984 7251230 10151722 14502460 20303444 25379305 29004920 40606888 50758610 101517220 203034440