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200321344 = 265373809
BaseRepresentation
bin10111111000010…
…10100101000000
3111221221101020001
423330022211000
5402240240334
631513325344
74651463146
oct1374124500
9457841201
10200321344
11a3092433
1257106854
133266a652
141c867596
15128be714
hexbf0a940

200321344 has 56 divisors (see below), whose sum is σ = 411068520. Its totient is φ = 96804864.

The previous prime is 200321339. The next prime is 200321347. The reversal of 200321344 is 443123002.

It can be written as a sum of positive squares in 4 ways, for example, as 94478400 + 105842944 = 9720^2 + 10288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200321347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247212 + ... + 248020.

Almost surely, 2200321344 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 200321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205534260).

200321344 is an abundant number, since it is smaller than the sum of its proper divisors (210747176).

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

200321344 is an equidigital number, since it uses as much as digits as its factorization.

200321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 200321344 is about 14153.4922898909. The cubic root of 200321344 is about 585.1165852332.

Adding to 200321344 its reverse (443123002), we get a palindrome (643444346).

The spelling of 200321344 in words is "two hundred million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 73 106 146 212 292 424 584 809 848 1168 1618 1696 2336 3236 3392 3869 4672 6472 7738 12944 15476 25888 30952 42877 51776 59057 61904 85754 118114 123808 171508 236228 247616 343016 472456 686032 944912 1372064 1889824 2744128 3130021 3779648 6260042 12520084 25040168 50080336 100160672 200321344