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203814 = 23213267
BaseRepresentation
bin110001110000100110
3101100120200
4301300212
523010224
64211330
71506132
oct616046
9340520
10203814
1112a146
1299b46
1371a00
14543c2
15405c9
hex31c26

203814 has 36 divisors (see below), whose sum is σ = 485316. Its totient is φ = 61776.

The previous prime is 203809. The next prime is 203821. The reversal of 203814 is 418302.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203814.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3009 + ... + 3075.

It is an arithmetic number, because the mean of its divisors is an integer number (13481).

2203814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242658).

203814 is an abundant number, since it is smaller than the sum of its proper divisors (281502).

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

203814 is a wasteful number, since it uses less digits than its factorization.

203814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 203814 is about 451.4576392088. The cubic root of 203814 is about 58.8497565791.

The spelling of 203814 in words is "two hundred three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 169 201 234 338 402 507 603 871 1014 1206 1521 1742 2613 3042 5226 7839 11323 15678 22646 33969 67938 101907 203814