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4034102304 = 253293739163
BaseRepresentation
bin1111000001110011…
…1000010000100000
3101102010212122000110
43300130320100200
531230212233204
61504144451320
7201653206131
oct36034702040
911363778013
104034102304
111790166851
12947019b40
134c3a019ab
142a3aadc88
1518925e889
hexf0738420

4034102304 has 96 divisors (see below), whose sum is σ = 11251033920. Its totient is φ = 1263209472.

The previous prime is 4034102297. The next prime is 4034102309. The reversal of 4034102304 is 4032014304.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4034102309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83427 + ... + 122589.

It is an arithmetic number, because the mean of its divisors is an integer number (117198270).

Almost surely, 24034102304 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 4034102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625516960).

4034102304 is an abundant number, since it is smaller than the sum of its proper divisors (7216931616).

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

4034102304 is a wasteful number, since it uses less digits than its factorization.

4034102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39242 (or 39234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4034102304 is about 63514.5833962563. The cubic root of 4034102304 is about 1591.8994616778.

Adding to 4034102304 its reverse (4032014304), we get a palindrome (8066116608).

The spelling of 4034102304 in words is "four billion, thirty-four million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 74 87 96 111 116 148 174 222 232 296 348 444 464 592 696 888 928 1073 1184 1392 1776 2146 2784 3219 3552 4292 6438 8584 12876 17168 25752 34336 39163 51504 78326 103008 117489 156652 234978 313304 469956 626608 939912 1135727 1253216 1449031 1879824 2271454 2898062 3407181 3759648 4347093 4542908 5796124 6814362 8694186 9085816 11592248 13628724 17388372 18171632 23184496 27257448 34776744 36343264 42021899 46368992 54514896 69553488 84043798 109029792 126065697 139106976 168087596 252131394 336175192 504262788 672350384 1008525576 1344700768 2017051152 4034102304