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4330200320 = 28519263677
BaseRepresentation
bin1000000100001100…
…11001110100000000
3102011210000222010122
410002012121310000
532332012402240
61553403115412
7212210044505
oct40206316400
912153028118
104330200320
111922315656
12a0a212b68
13540164714
142d11494ac
151a524c4b5
hex102199d00

4330200320 has 144 divisors (see below), whose sum is σ = 10975789440. Its totient is φ = 1632264192.

The previous prime is 4330200313. The next prime is 4330200353. The reversal of 4330200320 is 230020334.

It is a super-2 number, since 2×43302003202 = 37501269622656204800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6395822 + ... + 6396498.

It is an arithmetic number, because the mean of its divisors is an integer number (76220760).

Almost surely, 24330200320 is an apocalyptic number.

4330200320 is a gapful number since it is divisible by the number (40) 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 4330200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487894720).

4330200320 is an abundant number, since it is smaller than the sum of its proper divisors (6645589120).

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

4330200320 is a wasteful number, since it uses less digits than its factorization.

4330200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 4330200320 is about 65804.2576130147. The cubic root of 4330200320 is about 1629.9314109169.

Adding to 4330200320 its reverse (230020334), we get a palindrome (4560220654).

The spelling of 4330200320 in words is "four billion, three hundred thirty million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 263 304 320 380 526 608 640 677 760 1052 1216 1280 1315 1354 1520 2104 2432 2630 2708 3040 3385 4208 4864 4997 5260 5416 6080 6770 8416 9994 10520 10832 12160 12863 13540 16832 19988 21040 21664 24320 24985 25726 27080 33664 39976 42080 43328 49970 51452 54160 64315 67328 79952 84160 86656 99940 102904 108320 128630 159904 168320 173312 178051 199880 205808 216640 257260 319808 336640 356102 399760 411616 433280 514520 639616 712204 799520 823232 866560 890255 1029040 1279232 1424408 1599040 1646464 1780510 2058080 2848816 3198080 3292928 3382969 3561020 4116160 5697632 6396160 6765938 7122040 8232320 11395264 13531876 14244080 16464640 16914845 22790528 27063752 28488160 33829690 45581056 54127504 56976320 67659380 108255008 113952640 135318760 216510016 227905280 270637520 433020032 541275040 866040064 1082550080 2165100160 4330200320