Search a number
-
+
203412 = 223112367
BaseRepresentation
bin110001101010010100
3101100000210
4301222110
523002122
64205420
71505016
oct615224
9340023
10203412
11129910
1299870
1371781
14541b6
154040c
hex31a94

203412 has 48 divisors (see below), whose sum is σ = 548352. Its totient is φ = 58080.

The previous prime is 203393. The next prime is 203417. The reversal of 203412 is 214302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3003 + ... + 3069.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2203412 is an apocalyptic number.

203412 is a gapful number since it is divisible by the number (22) 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 203412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176).

203412 is an abundant number, since it is smaller than the sum of its proper divisors (344940).

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

203412 is a wasteful number, since it uses less digits than its factorization.

203412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 203412 is about 451.0121949571. The cubic root of 203412 is about 58.8110396228.

Adding to 203412 its reverse (214302), we get a palindrome (417714).

The spelling of 203412 in words is "two hundred three thousand, four hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 67 69 92 132 134 138 201 253 268 276 402 506 737 759 804 1012 1474 1518 1541 2211 2948 3036 3082 4422 4623 6164 8844 9246 16951 18492 33902 50853 67804 101706 203412