Search a number
-
+
200456344 = 231121571319
BaseRepresentation
bin10111111001010…
…11100010011000
3111222012020102001
423330223202120
5402304100334
631520250344
74652564554
oct1374534230
9458166361
10200456344
11a3174900
12571709b4
13326b6c2a
141c8a0864
15128e9714
hexbf2b898

200456344 has 48 divisors (see below), whose sum is σ = 416077200. Its totient is φ = 90467520.

The previous prime is 200456297. The next prime is 200456351. The reversal of 200456344 is 443654002.

200456344 is digitally balanced in base 3, 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 11 ways as a sum of consecutive naturals, for example, 151317 + ... + 152635.

It is an arithmetic number, because the mean of its divisors is an integer number (8668275).

Almost surely, 2200456344 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 200456344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208038600).

200456344 is an abundant number, since it is smaller than the sum of its proper divisors (215620856).

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

200456344 is a wasteful number, since it uses less digits than its factorization.

200456344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 200456344 is about 14158.2606276336. The cubic root of 200456344 is about 585.2479957620.

The spelling of 200456344 in words is "two hundred million, four hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 157 242 314 484 628 968 1256 1319 1727 2638 3454 5276 6908 10552 13816 14509 18997 29018 37994 58036 75988 116072 151976 159599 207083 319198 414166 638396 828332 1276792 1656664 2277913 4555826 9111652 18223304 25057043 50114086 100228172 200456344