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2000323424 = 251113940883
BaseRepresentation
bin111011100111010…
…1000001101100000
312011101221221212202
41313032220031200
513044040322144
6530253512332
7100366316501
oct16716501540
95141857782
102000323424
11937148660
12479aa26a8
1325b55b638
1414d940ba8
15ba92864e
hex773a8360

2000323424 has 48 divisors (see below), whose sum is σ = 4327162560. Its totient is φ = 902674560.

The previous prime is 2000323393. The next prime is 2000323447. The reversal of 2000323424 is 4243230002.

It is a junction number, because it is equal to n+sod(n) for n = 2000323396 and 2000323405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28487 + ... + 69369.

It is an arithmetic number, because the mean of its divisors is an integer number (90149220).

Almost surely, 22000323424 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 2000323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163581280).

2000323424 is an abundant number, since it is smaller than the sum of its proper divisors (2326839136).

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

2000323424 is a wasteful number, since it uses less digits than its factorization.

2000323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41043 (or 41035 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2000323424 is about 44724.9753940681. The cubic root of 2000323424 is about 1259.9889610186.

Adding to 2000323424 its reverse (4243230002), we get a palindrome (6243553426).

The spelling of 2000323424 in words is "two billion, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 278 352 556 1112 1529 2224 3058 4448 6116 12232 24464 40883 48928 81766 163532 327064 449713 654128 899426 1308256 1798852 3597704 5682737 7195408 11365474 14390816 22730948 45461896 62510107 90923792 125020214 181847584 250040428 500080856 1000161712 2000323424