Search a number
-
+
4034041000 = 2353111013631
BaseRepresentation
bin1111000001110010…
…1001010010101000
3101102010202111220221
43300130221102220
531230203303000
61504143255424
7201652532323
oct36034512250
911363674827
104034041000
111790124790
12946baa574
134c39acb12
142a3a957ba
1518924b61a
hexf07294a8

4034041000 has 128 divisors (see below), whose sum is σ = 10402629120. Its totient is φ = 1452000000.

The previous prime is 4034040979. The next prime is 4034041003. The reversal of 4034041000 is 1404304.

It is not an unprimeable number, because it can be changed into a prime (4034041003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109185 + ... + 1112815.

It is an arithmetic number, because the mean of its divisors is an integer number (81270540).

Almost surely, 24034041000 is an apocalyptic number.

4034041000 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 4034041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201314560).

4034041000 is an abundant number, since it is smaller than the sum of its proper divisors (6368588120).

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

4034041000 is a wasteful number, since it uses less digits than its factorization.

4034041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4034041000 is about 63514.1007965948. The cubic root of 4034041000 is about 1591.8913979012.

Adding to 4034041000 its reverse (1404304), we get a palindrome (4035445304).

It can be divided in two parts, 403404 and 1000, that added together give a palindrome (404404).

The spelling of 4034041000 in words is "four billion, thirty-four million, forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 3631 4040 4444 5050 5500 5555 7262 8888 10100 11000 11110 12625 14524 18155 20200 22220 25250 27775 29048 36310 39941 44440 50500 55550 72620 79882 90775 101000 111100 138875 145240 159764 181550 199705 222200 277750 319528 363100 366731 399410 453875 555500 726200 733462 798820 907750 998525 1111000 1466924 1597640 1815500 1833655 1997050 2933848 3631000 3667310 3994100 4034041 4992625 7334620 7988200 8068082 9168275 9985250 14669240 16136164 18336550 19970500 20170205 32272328 36673100 39941000 40340410 45841375 73346200 80680820 91682750 100851025 161361640 183365500 201702050 366731000 403404100 504255125 806808200 1008510250 2017020500 4034041000