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4334023140 = 2235731516553
BaseRepresentation
bin1000000100101001…
…11111000111100100
3102012001020012001120
410002110333013210
532334002220030
61554021053540
7212254405656
oct40224770744
912161205046
104334023140
111924496807
12a0b5572b0
13540ba2745
142d18626d6
151a5755010
hex10253f1e4

4334023140 has 96 divisors (see below), whose sum is σ = 12384857856. Its totient is φ = 1132185600.

The previous prime is 4334023091. The next prime is 4334023181. The reversal of 4334023140 is 413204334.

It is a self number, because there is not a number n which added to its sum of digits gives 4334023140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658104 + ... + 664656.

It is an arithmetic number, because the mean of its divisors is an integer number (129008936).

Almost surely, 24334023140 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 4334023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192428928).

4334023140 is an abundant number, since it is smaller than the sum of its proper divisors (8050834716).

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

4334023140 is a wasteful number, since it uses less digits than its factorization.

4334023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4334023140 is about 65833.2981096952. The cubic root of 4334023140 is about 1630.4109192708.

Adding to 4334023140 its reverse (413204334), we get a palindrome (4747227474).

The spelling of 4334023140 in words is "four billion, three hundred thirty-four million, twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 151 219 292 302 365 438 453 604 730 755 876 906 1095 1460 1510 1812 2190 2265 3020 4380 4530 6553 9060 11023 13106 19659 22046 26212 32765 33069 39318 44092 55115 65530 66138 78636 98295 110230 131060 132276 165345 196590 220460 330690 393180 478369 661380 956738 989503 1435107 1913476 1979006 2391845 2870214 2968509 3958012 4783690 4947515 5740428 5937018 7175535 9567380 9895030 11874036 14351070 14842545 19790060 28702140 29685090 59370180 72233719 144467438 216701157 288934876 361168595 433402314 722337190 866804628 1083505785 1444674380 2167011570 4334023140