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2003321344 = 29172310007
BaseRepresentation
bin111011101101000…
…0100001000000000
312011121121021020211
41313122010020000
513100322240334
6530442043504
7100433644003
oct16732041000
95147537224
102003321344
11938905a82
1247aaa9594
1325c06b05b
141500c153a
15bad1ba64
hex77684200

2003321344 has 80 divisors (see below), whose sum is σ = 4422895488. Its totient is φ = 901660672.

The previous prime is 2003321323. The next prime is 2003321347. The reversal of 2003321344 is 4431233002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003321347) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 195189 + ... + 205195.

Almost surely, 22003321344 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 2003321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211447744).

2003321344 is an abundant number, since it is smaller than the sum of its proper divisors (2419574144).

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

2003321344 is a wasteful number, since it uses less digits than its factorization.

2003321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2003321344 is about 44758.4779008402. The cubic root of 2003321344 is about 1260.6181027150.

Adding to 2003321344 its reverse (4431233002), we get a palindrome (6434554346).

The spelling of 2003321344 in words is "two billion, three million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 512 544 736 782 1088 1472 1564 2176 2944 3128 4352 5888 6256 8704 10007 11776 12512 20014 25024 40028 50048 80056 100096 160112 170119 200192 230161 320224 340238 460322 640448 680476 920644 1280896 1360952 1841288 2561792 2721904 3682576 3912737 5123584 5443808 7365152 7825474 10887616 14730304 15650948 21775232 29460608 31301896 43550464 58921216 62603792 87100928 117842432 125207584 250415168 500830336 1001660672 2003321344