Search a number
-
+
4034353014 = 233412417561
BaseRepresentation
bin1111000001110111…
…0101011101110110
3101102011100100221000
43300131311131312
531230243244024
61504154104130
7201655302066
oct36035653566
911364310830
104034353014
11179031814a
1294711b046
134c3a8bb43
142a3b373a6
151892adcc9
hexf0775776

4034353014 has 64 divisors (see below), whose sum is σ = 9223220160. Its totient is φ = 1306368000.

The previous prime is 4034352991. The next prime is 4034353021. The reversal of 4034353014 is 4103534304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 529794 + ... + 537354.

It is an arithmetic number, because the mean of its divisors is an integer number (144112815).

Almost surely, 24034353014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034353014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611610080).

4034353014 is an abundant number, since it is smaller than the sum of its proper divisors (5188867146).

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

4034353014 is a wasteful number, since it uses less digits than its factorization.

4034353014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4034353014 is about 63516.5570068152. The cubic root of 4034353014 is about 1591.9324386011.

Adding to 4034353014 its reverse (4103534304), we get a palindrome (8137887318).

The spelling of 4034353014 in words is "four billion, thirty-four million, three hundred fifty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 241 246 369 482 723 738 1107 1446 2169 2214 4338 6507 7561 9881 13014 15122 19762 22683 29643 45366 59286 68049 88929 136098 177858 204147 266787 310001 408294 533574 620002 930003 1822201 1860006 2790009 3644402 5466603 5580018 8370027 10933206 16399809 16740054 32799618 49199427 74710241 98398854 149420482 224130723 448261446 672392169 1344784338 2017176507 4034353014