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203413312 = 263738521
BaseRepresentation
bin11000001111111…
…01011101000000
3112011202110121101
430013331131000
5404033211222
632103504144
75016661504
oct1407753500
9464673541
10203413312
11a4904483
1258158054
13331b0b0b
141d030304
1512cd0927
hexc1fd740

203413312 has 28 divisors (see below), whose sum is σ = 404777956. Its totient is φ = 101422080.

The previous prime is 203413303. The next prime is 203413319. The reversal of 203413312 is 213314302.

203413312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 104530176 + 98883136 = 10224^2 + 9944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 203413312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203413319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19612 + ... + 28132.

Almost surely, 2203413312 is an apocalyptic number.

It is an amenable number.

203413312 is a deficient number, since it is larger than the sum of its proper divisors (201364644).

203413312 is an equidigital number, since it uses as much as digits as its factorization.

203413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 203413312 is about 14262.3038812108. The cubic root of 203413312 is about 588.1116606554. Note that the first 3 decimals are identical.

Adding to 203413312 its reverse (213314302), we get a palindrome (416727614).

It can be divided in two parts, 20341 and 3312, that added together give a triangular number (23653 = T217).

The spelling of 203413312 in words is "two hundred three million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 373 746 1492 2984 5968 8521 11936 17042 23872 34084 68168 136336 272672 545344 3178333 6356666 12713332 25426664 50853328 101706656 203413312