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4034071314 = 2327213351829
BaseRepresentation
bin1111000001110011…
…0000101100010010
3101102010211001111200
43300130300230102
531230210240224
61504144052030
7201653016600
oct36034605422
911363731450
104034071314
111790145539
12947004016
134c39c0860
142a3aa2870
151892555c9
hexf0730b12

4034071314 has 72 divisors (see below), whose sum is σ = 10949653260. Its totient is φ = 1063927872.

The previous prime is 4034071313. The next prime is 4034071319. The reversal of 4034071314 is 4131704304.

4034071314 is a `hidden beast` number, since 4 + 0 + 340 + 7 + 1 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4030091289 + 3980025 = 63483^2 + 1995^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4034071313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164449 + ... + 187380.

Almost surely, 24034071314 is an apocalyptic number.

4034071314 is an abundant number, since it is smaller than the sum of its proper divisors (6915581946).

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

4034071314 is a wasteful number, since it uses less digits than its factorization.

4034071314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351864 (or 351854 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4034071314 is about 63514.3394360675. The cubic root of 4034071314 is about 1591.8953853401.

Adding to 4034071314 its reverse (4131704304), we get a palindrome (8165775618).

The spelling of 4034071314 in words is "four billion, thirty-four million, seventy-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466 351829 703658 1055487 2110974 2462803 3166461 4573777 4925606 6332922 7388409 9147554 13721331 14776818 17239621 22165227 27442662 32016439 34479242 41163993 44330454 51718863 64032878 82327986 96049317 103437726 155156589 192098634 224115073 288147951 310313178 448230146 576295902 672345219 1344690438 2017035657 4034071314