Search a number
-
+
200434400 = 2552250543
BaseRepresentation
bin10111111001001…
…10001011100000
3111222011010022022
423330212023200
5402302400100
631520001012
74652443565
oct1374461340
9458133268
10200434400
11a315a371
1257160168
13326a9c4a
141c89686c
15128e2e85
hexbf262e0

200434400 has 36 divisors (see below), whose sum is σ = 489312432. Its totient is φ = 80173440.

The previous prime is 200434379. The next prime is 200434411. The reversal of 200434400 is 4434002.

200434400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124472 + ... + 126071.

It is an arithmetic number, because the mean of its divisors is an integer number (13592012).

Almost surely, 2200434400 is an apocalyptic number.

200434400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200434400 is an abundant number, since it is smaller than the sum of its proper divisors (288878032).

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

200434400 is a wasteful number, since it uses less digits than its factorization.

200434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250563 (or 250550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 200434400 is about 14157.4856524737. The cubic root of 200434400 is about 585.2266392404.

Adding to 200434400 its reverse (4434002), we get a palindrome (204868402).

The spelling of 200434400 in words is "two hundred million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 250543 501086 1002172 1252715 2004344 2505430 4008688 5010860 6263575 8017376 10021720 12527150 20043440 25054300 40086880 50108600 100217200 200434400