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4440003320 = 2351494631609
BaseRepresentation
bin1000010001010010…
…10001001011111000
3102110102122112112102
410020221101023320
533043120101240
62012324402532
7215012256044
oct41051211370
912412575472
104440003320
1119792a2235
12a3ab46448
13559b2b1cc
1430196d024
151aebdb815
hex108a512f8

4440003320 has 64 divisors (see below), whose sum is σ = 10085040000. Its totient is φ = 1759177728.

The previous prime is 4440003263. The next prime is 4440003343. The reversal of 4440003320 is 233000444.

It is a happy number.

It is a super-2 number, since 2×44400033202 = 39427258963222044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4440003292 and 4440003301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2758676 + ... + 2760284.

It is an arithmetic number, because the mean of its divisors is an integer number (157578750).

Almost surely, 24440003320 is an apocalyptic number.

4440003320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440003320 is an abundant number, since it is smaller than the sum of its proper divisors (5645036680).

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

4440003320 is a wasteful number, since it uses less digits than its factorization.

4440003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2228 counting only the distinct ones).

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

The square root of 4440003320 is about 66633.3499082854. The cubic root of 4440003320 is about 1643.5935626397.

Adding to 4440003320 its reverse (233000444), we get a palindrome (4673003764).

The spelling of 4440003320 in words is "four billion, four hundred forty million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 298 463 596 745 926 1192 1490 1609 1852 2315 2980 3218 3704 4630 5960 6436 8045 9260 12872 16090 18520 32180 64360 68987 137974 239741 275948 344935 479482 551896 689870 744967 958964 1198705 1379740 1489934 1917928 2397410 2759480 2979868 3724835 4794820 5959736 7449670 9589640 14899340 29798680 111000083 222000166 444000332 555000415 888000664 1110000830 2220001660 4440003320