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4330341020 = 2253173241397
BaseRepresentation
bin1000000100001101…
…11100001010011100
3102011210022010010202
410002012330022130
532332031403040
61553410123032
7212211201635
oct40206741234
912153263122
104330341020
111922401335
12a0a280478
135401b3785
142d118488c
151a5279015
hex1021bc29c

4330341020 has 96 divisors (see below), whose sum is σ = 9579204096. Its totient is φ = 1642291200.

The previous prime is 4330341019. The next prime is 4330341089. The reversal of 4330341020 is 201430334.

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 = 4330340983 and 4330341001.

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 31 ways as a sum of consecutive naturals, for example, 10907462 + ... + 10907858.

It is an arithmetic number, because the mean of its divisors is an integer number (99783376).

Almost surely, 24330341020 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 4330341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789602048).

4330341020 is an abundant number, since it is smaller than the sum of its proper divisors (5248863076).

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

4330341020 is a wasteful number, since it uses less digits than its factorization.

4330341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 4330341020 is about 65805.3266840915. The cubic root of 4330341020 is about 1629.9490643624.

Adding to 4330341020 its reverse (201430334), we get a palindrome (4531771354).

The spelling of 4330341020 in words is "four billion, three hundred thirty million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 241 292 310 365 397 482 620 730 794 964 1205 1460 1588 1985 2263 2410 3970 4526 4820 7471 7940 9052 11315 12307 14942 17593 22630 24614 28981 29884 35186 37355 45260 49228 57962 61535 70372 74710 87965 95677 115924 123070 144905 149420 175930 191354 246140 289810 351860 382708 478385 545383 579620 898411 956770 1090766 1796822 1913540 2181532 2726915 2965987 3593644 4492055 5453830 5931974 6984421 8984110 10907660 11863948 13968842 14829935 17968220 27937684 29659870 34922105 59319740 69844210 139688420 216517051 433034102 866068204 1082585255 2165170510 4330341020