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2023331344 = 242354110163
BaseRepresentation
bin111100010011001…
…1001011000010000
312020000020212210221
41320212121120100
513120433100334
6532435002424
7101066014126
oct17046313020
95200225727
102023331344
11949132871
12485739414
13263255ba8
14152a0d916
15bc9708b4
hex78999610

2023331344 has 40 divisors (see below), whose sum is σ = 4098612672. Its totient is φ = 965796480.

The previous prime is 2023331329. The next prime is 2023331351. The reversal of 2023331344 is 4431333202.

It is a super-2 number, since 2×20233313442 = 8187739455225692672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194007 + ... + 204169.

Almost surely, 22023331344 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 2023331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049306336).

2023331344 is an abundant number, since it is smaller than the sum of its proper divisors (2075281328).

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

2023331344 is a wasteful number, since it uses less digits than its factorization.

2023331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 2023331344 is about 44981.4555567069. The cubic root of 2023331344 is about 1264.8013965370.

Adding to 2023331344 its reverse (4431333202), we get a palindrome (6454664546).

The spelling of 2023331344 in words is "two billion, twenty-three million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 541 1082 2164 4328 8656 10163 12443 20326 24886 40652 49772 81304 99544 162608 199088 233749 467498 934996 1869992 3739984 5498183 10996366 21992732 43985464 87970928 126458209 252916418 505832836 1011665672 2023331344