Search a number
-
+
200344000 = 265379317
BaseRepresentation
bin10111111000100…
…00000111000000
3111221222112022011
423330100013000
5402242002000
631514022304
74651616203
oct1374200700
9457875264
10200344000
11a30a845a
1257117994
1332677a5c
141c87193a
15128c62ba
hexbf101c0

200344000 has 112 divisors (see below), whose sum is σ = 504017280. Its totient is φ = 78873600.

The previous prime is 200343991. The next prime is 200344021. The reversal of 200344000 is 443002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631842 + ... + 632158.

Almost surely, 2200344000 is an apocalyptic number.

200344000 is a gapful number since it is divisible by the number (20) 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 200344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252008640).

200344000 is an abundant number, since it is smaller than the sum of its proper divisors (303673280).

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

200344000 is an equidigital number, since it uses as much as digits as its factorization.

200344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 200344000 is about 14154.2926350984. The cubic root of 200344000 is about 585.1386429619.

Adding to 200344000 its reverse (443002), we get a palindrome (200787002).

The spelling of 200344000 in words is "two hundred million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 158 160 200 250 316 317 320 395 400 500 632 634 790 800 1000 1264 1268 1580 1585 1600 1975 2000 2528 2536 3160 3170 3950 4000 5056 5072 6320 6340 7900 7925 8000 9875 10144 12640 12680 15800 15850 19750 20288 25043 25280 25360 31600 31700 39500 39625 50086 50720 63200 63400 79000 79250 100172 101440 125215 126400 126800 158000 158500 200344 250430 253600 316000 317000 400688 500860 507200 626075 632000 634000 801376 1001720 1252150 1268000 1602752 2003440 2504300 2536000 3130375 4006880 5008600 6260750 8013760 10017200 12521500 20034400 25043000 40068800 50086000 100172000 200344000