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4332030420 = 22354713711213
BaseRepresentation
bin1000000100011010…
…11000100111010100
3102011220110221120010
410002031120213110
532332444433140
61553510240220
7212231436204
oct40215304724
912156427503
104332030420
111923355633
12a0a956070
13540655713
142d14a4404
151a54ae880
hex1023589d4

4332030420 has 96 divisors (see below), whose sum is σ = 12479298048. Its totient is φ = 1122276352.

The previous prime is 4332030407. The next prime is 4332030421. The reversal of 4332030420 is 240302334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332030421) by changing a digit.

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, 380734 + ... + 391946.

It is an arithmetic number, because the mean of its divisors is an integer number (129992688).

Almost surely, 24332030420 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 4332030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239649024).

4332030420 is an abundant number, since it is smaller than the sum of its proper divisors (8147267628).

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

4332030420 is a wasteful number, since it uses less digits than its factorization.

4332030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11409 (or 11407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 4332030420 is about 65818.1617792536. The cubic root of 4332030420 is about 1630.1610013223.

Adding to 4332030420 its reverse (240302334), we get a palindrome (4572332754).

The spelling of 4332030420 in words is "four billion, three hundred thirty-two million, thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 137 141 188 235 274 282 411 470 548 564 685 705 822 940 1370 1410 1644 2055 2740 2820 4110 6439 8220 11213 12878 19317 22426 25756 32195 33639 38634 44852 56065 64390 67278 77268 96585 112130 128780 134556 168195 193170 224260 336390 386340 527011 672780 1054022 1536181 1581033 2108044 2635055 3072362 3162066 4608543 5270110 6144724 6324132 7680905 7905165 9217086 10540220 15361810 15810330 18434172 23042715 30723620 31620660 46085430 72200507 92170860 144401014 216601521 288802028 361002535 433203042 722005070 866406084 1083007605 1444010140 2166015210 4332030420