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4034104434 = 2321953457487
BaseRepresentation
bin1111000001110011…
…1000110001110010
3101102010212201221100
43300130320301302
531230212320214
61504144505230
7201653215263
oct36034706162
911363781840
104034104434
111790168408
1294701b216
134c3a02959
142a3ab096a
15189260309
hexf0738c72

4034104434 has 96 divisors (see below), whose sum is σ = 9413988480. Its totient is φ = 1244595456.

The previous prime is 4034104429. The next prime is 4034104457. The reversal of 4034104434 is 4344014304.

4034104434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4034104398 and 4034104407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8283339 + ... + 8283825.

It is an arithmetic number, because the mean of its divisors is an integer number (98062380).

Almost surely, 24034104434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034104434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706994240).

4034104434 is an abundant number, since it is smaller than the sum of its proper divisors (5379884046).

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

4034104434 is a wasteful number, since it uses less digits than its factorization.

4034104434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4034104434 is about 63514.6001640568. The cubic root of 4034104434 is about 1591.8997418513.

Adding to 4034104434 its reverse (4344014304), we get a palindrome (8378118738).

The spelling of 4034104434 in words is "four billion, thirty-four million, one hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 457 477 487 914 954 974 1007 1371 1461 2014 2742 2922 3021 4113 4383 6042 8226 8683 8766 9063 9253 17366 18126 18506 24221 25811 26049 27759 48442 51622 52098 55518 72663 77433 78147 83277 145326 154866 156294 166554 217989 222559 232299 435978 445118 460199 464598 490409 667677 920398 980818 1335354 1380597 1471227 2003031 2761194 2942454 4006062 4141791 4228621 4413681 8283582 8457242 8827362 11795627 12685863 23591254 25371726 35386881 38057589 70773762 76115178 106160643 212321286 224116913 448233826 672350739 1344701478 2017052217 4034104434