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203414 = 21953101
BaseRepresentation
bin110001101010010110
3101100000212
4301222112
523002124
64205422
71505021
oct615226
9340025
10203414
11129912
1299872
1371783
14541b8
154040e
hex31a96

203414 has 16 divisors (see below), whose sum is σ = 330480. Its totient is φ = 93600.

The previous prime is 203393. The next prime is 203417. The reversal of 203414 is 414302.

Added to its reverse (414302) it gives a triangular number (617716 = T1111).

203414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

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 203414.

It is not an unprimeable number, because it can be changed into a prime (203417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1964 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2203414 is an apocalyptic number.

203414 is a deficient number, since it is larger than the sum of its proper divisors (127066).

203414 is a wasteful number, since it uses less digits than its factorization.

203414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 203414 is about 451.0144121866. The cubic root of 203414 is about 58.8112323707.

Adding to 203414 its reverse (414302), we get a palindrome (617716).

It can be divided in two parts, 2034 and 14, that added together give a 11-th power (2048 = 211).

The spelling of 203414 in words is "two hundred three thousand, four hundred fourteen", and thus it is an iban number.

Divisors: 1 2 19 38 53 101 106 202 1007 1919 2014 3838 5353 10706 101707 203414