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203330034 = 233103139263
BaseRepresentation
bin11000001111010…
…01000111110010
3112011121020101000
430013221013302
5404023030114
632102022430
75016163635
oct1407510762
9464536330
10203330034
11a4857956
1258117a16
1333181c3b
141d00bc1c
1512cb5e09
hexc1e91f2

203330034 has 64 divisors (see below), whose sum is σ = 461260800. Its totient is φ = 66382416.

The previous prime is 203330033. The next prime is 203330063. The reversal of 203330034 is 430033302.

203330034 is digitally balanced in base 2, 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 junction number, because it is equal to n+sod(n) for n = 203329989 and 203330016.

It is not an unprimeable number, because it can be changed into a prime (203330033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772987 + ... + 773249.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2203330034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203330034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230630400).

203330034 is an abundant number, since it is smaller than the sum of its proper divisors (257930766).

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

203330034 is a wasteful number, since it uses less digits than its factorization.

203330034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 203330034 is about 14259.3840680445. The cubic root of 203330034 is about 588.0313914936.

Adding to 203330034 its reverse (430033302), we get a palindrome (633363336).

The spelling of 203330034 in words is "two hundred three million, three hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 103 139 206 263 278 309 417 526 618 789 834 927 1251 1578 1854 2367 2502 2781 3753 4734 5562 7101 7506 14202 14317 27089 28634 36557 42951 54178 73114 81267 85902 109671 128853 162534 219342 243801 257706 329013 386559 487602 658026 731403 773118 987039 1462806 1974078 3765371 7530742 11296113 22592226 33888339 67776678 101665017 203330034