Search a number
-
+
4043340120 = 2335671912633
BaseRepresentation
bin1111000100000000…
…0111100101011000
3101102210020221220210
43301000013211120
531240043340440
61505114451120
7202124552421
oct36100074530
911383227823
104043340120
1117953a6306
1294a133aa0
134c58b7661
142a4dd6648
15189e86a80
hexf1007958

4043340120 has 128 divisors (see below), whose sum is σ = 12380221440. Its totient is φ = 1056168960.

The previous prime is 4043340107. The next prime is 4043340127. The reversal of 4043340120 is 210433404.

It is a super-2 number, since 2×40433401202 = 32697198652003228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043340127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534324 + ... + 1536956.

It is an arithmetic number, because the mean of its divisors is an integer number (96720480).

Almost surely, 24043340120 is an apocalyptic number.

4043340120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4043340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190110720).

4043340120 is an abundant number, since it is smaller than the sum of its proper divisors (8336881320).

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

4043340120 is a wasteful number, since it uses less digits than its factorization.

4043340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2901 counting only the distinct ones).

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

The square root of 4043340120 is about 63587.2638191014. The cubic root of 4043340120 is about 1593.1136486663.

Adding to 4043340120 its reverse (210433404), we get a palindrome (4253773524).

The spelling of 4043340120 in words is "four billion, forty-three million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 191 201 268 335 382 402 536 573 670 764 804 955 1005 1146 1340 1528 1608 1910 2010 2292 2633 2680 2865 3820 4020 4584 5266 5730 7640 7899 8040 10532 11460 12797 13165 15798 21064 22920 25594 26330 31596 38391 39495 51188 52660 63192 63985 76782 78990 102376 105320 127970 153564 157980 176411 191955 255940 307128 315960 352822 383910 502903 511880 529233 705644 767820 882055 1005806 1058466 1411288 1508709 1535640 1764110 2011612 2116932 2514515 2646165 3017418 3528220 4023224 4233864 5029030 5292330 6034836 7056440 7543545 10058060 10584660 12069672 15087090 20116120 21169320 30174180 33694501 60348360 67389002 101083503 134778004 168472505 202167006 269556008 336945010 404334012 505417515 673890020 808668024 1010835030 1347780040 2021670060 4043340120