Search a number
-
+
203414004 = 22342921649
BaseRepresentation
bin11000001111111…
…01100111110100
3112011202111120000
430013331213310
5404033222004
632103511300
75016663513
oct1407754764
9464674500
10203414004
11a4904a52
1258158530
13331b1221
141d03067a
1512cd0c39
hexc1fd9f4

203414004 has 60 divisors (see below), whose sum is σ = 550126500. Its totient is φ = 65463552.

The previous prime is 203413999. The next prime is 203414017. The reversal of 203414004 is 400414302.

It can be written as a sum of positive squares in 2 ways, for example, as 91011600 + 112402404 = 9540^2 + 10602^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 1429 + ... + 20220.

It is an arithmetic number, because the mean of its divisors is an integer number (9168775).

Almost surely, 2203414004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275063250).

203414004 is an abundant number, since it is smaller than the sum of its proper divisors (346712496).

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

203414004 is a wasteful number, since it uses less digits than its factorization.

203414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21694 (or 21683 counting only the distinct ones).

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

The square root of 203414004 is about 14262.3281409453. The cubic root of 203414004 is about 588.1123275616.

Adding to 203414004 its reverse (400414302), we get a palindrome (603828306).

The spelling of 203414004 in words is "two hundred three million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 21649 43298 64947 86596 129894 194841 259788 389682 584523 627821 779364 1169046 1255642 1753569 1883463 2338092 2511284 3507138 3766926 5650389 7014276 7533852 11300778 16951167 22601556 33902334 50853501 67804668 101707002 203414004