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2003989344 = 25374396793
BaseRepresentation
bin111011101110010…
…0111001101100000
312011122212012120120
41313130213031200
513101010124334
6530504240240
7100442425350
oct16734471540
95148765516
102003989344
11939221945
1247b170080
1325c243116
14150216b60
15badee949
hex77727360

2003989344 has 96 divisors (see below), whose sum is σ = 6026549760. Its totient is φ = 571180032.

The previous prime is 2003989331. The next prime is 2003989373. The reversal of 2003989344 is 4439893002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2003989296 and 2003989305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291612 + ... + 298404.

It is an arithmetic number, because the mean of its divisors is an integer number (62776560).

Almost surely, 22003989344 is an apocalyptic number.

2003989344 is a gapful number since it is divisible by the number (24) 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 2003989344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013274880).

2003989344 is an abundant number, since it is smaller than the sum of its proper divisors (4022560416).

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

2003989344 is a wasteful number, since it uses less digits than its factorization.

2003989344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2003989344 is about 44765.9395522980. The cubic root of 2003989344 is about 1260.7582032727.

The spelling of 2003989344 in words is "two billion, three million, nine hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 439 672 878 1317 1756 2634 3073 3512 5268 6146 6793 7024 9219 10536 12292 13586 14048 18438 20379 21072 24584 27172 36876 40758 42144 47551 49168 54344 73752 81516 95102 98336 108688 142653 147504 163032 190204 217376 285306 295008 326064 380408 570612 652128 760816 1141224 1521632 2282448 2982127 4564896 5964254 8946381 11928508 17892762 20874889 23857016 35785524 41749778 47714032 62624667 71571048 83499556 95428064 125249334 143142096 166999112 250498668 286284192 333998224 500997336 667996448 1001994672 2003989344