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203404014 = 233111720143
BaseRepresentation
bin11000001111110…
…11001011101110
3112011201222212000
430013323023232
5404032412024
632103353130
75016622422
oct1407731356
9464658760
10203404014
11a48a84a0
12581527a6
13331a9808
141d02ab82
1512ccccc9
hexc1fb2ee

203404014 has 64 divisors (see below), whose sum is σ = 522132480. Its totient is φ = 58008960.

The previous prime is 203404009. The next prime is 203404079. The reversal of 203404014 is 410404302.

It is a super-2 number, since 2×2034040142 = 82746385822624392, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27 + ... + 20169.

It is an arithmetic number, because the mean of its divisors is an integer number (8158320).

Almost surely, 2203404014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203404014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261066240).

203404014 is an abundant number, since it is smaller than the sum of its proper divisors (318728466).

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

203404014 is a wasteful number, since it uses less digits than its factorization.

203404014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20182 (or 20176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 203404014 is about 14261.9779133190. The cubic root of 203404014 is about 588.1026996792.

Adding to 203404014 its reverse (410404302), we get a palindrome (613808316).

The spelling of 203404014 in words is "two hundred three million, four hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 20143 40286 60429 120858 181287 221573 342431 362574 443146 543861 664719 684862 1027293 1087722 1329438 1994157 2054586 3081879 3766741 3988314 5982471 6163758 7533482 9245637 11300223 11964942 18491274 22600446 33900669 67801338 101702007 203404014