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4023034420 = 2252323743239
BaseRepresentation
bin1110111111001010…
…1010001000110100
3101101101001022201211
43233302222020310
531214344100140
61503111331204
7201460141216
oct35762521064
911341038654
104023034420
111784997339
12943380b04
134c1628052
142a242c5b6
151882c52ea
hexefcaa234

4023034420 has 144 divisors (see below), whose sum is σ = 9320129280. Its totient is φ = 1456697088.

The previous prime is 4023034417. The next prime is 4023034427. The reversal of 4023034420 is 244303204.

It is a junction number, because it is equal to n+sod(n) for n = 4023034391 and 4023034400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023034427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16832661 + ... + 16832899.

It is an arithmetic number, because the mean of its divisors is an integer number (64723120).

Almost surely, 24023034420 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 4023034420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660064640).

4023034420 is an abundant number, since it is smaller than the sum of its proper divisors (5297094860).

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

4023034420 is a wasteful number, since it uses less digits than its factorization.

4023034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4023034420 is about 63427.3948700402. The cubic root of 4023034420 is about 1590.4422935260.

Adding to 4023034420 its reverse (244303204), we get a palindrome (4267337624).

The spelling of 4023034420 in words is "four billion, twenty-three million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 37 43 46 74 86 92 115 148 172 185 215 230 239 370 430 460 478 529 740 851 860 956 989 1058 1195 1591 1702 1978 2116 2390 2645 3182 3404 3956 4255 4780 4945 5290 5497 6364 7955 8510 8843 9890 10277 10580 10994 15910 17020 17686 19573 19780 20554 21988 22747 27485 31820 35372 36593 39146 41108 44215 45494 51385 54970 73186 78292 88430 90988 97865 102770 109940 113735 126431 146372 176860 182965 195730 203389 205540 227470 236371 252862 365930 380249 391460 406778 454940 472742 505724 632155 731860 760498 813556 841639 945484 1016945 1181855 1264310 1520996 1683278 1901245 2033890 2363710 2528620 3366556 3802490 4067780 4208195 4677947 4727420 5436533 7604980 8416390 8745727 9355894 10873066 16832780 17491454 18711788 21746132 23389735 27182665 34982908 43728635 46779470 54365330 87457270 93558940 108730660 174914540 201151721 402303442 804606884 1005758605 2011517210 4023034420