Search a number
-
+
4000031340 = 2235411998171
BaseRepresentation
bin1110111001101011…
…1010001001101100
3101022202202122102220
43232122322021230
531143002000330
61500530315340
7201060463644
oct35632721154
911282678386
104000031340
111772a05828
12937728b50
134b9932a66
1429d361524
1518627e710
hexee6ba26c

4000031340 has 96 divisors (see below), whose sum is σ = 11532326400. Its totient is φ = 1035302400.

The previous prime is 4000031327. The next prime is 4000031341. The reversal of 4000031340 is 431300004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4000031341) 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, 485455 + ... + 493625.

It is an arithmetic number, because the mean of its divisors is an integer number (120128400).

Almost surely, 24000031340 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 4000031340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766163200).

4000031340 is an abundant number, since it is smaller than the sum of its proper divisors (7532295060).

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

4000031340 is a wasteful number, since it uses less digits than its factorization.

4000031340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8423 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4000031340 is about 63245.8009673370. The cubic root of 4000031340 is about 1587.4051977198.

Adding to 4000031340 its reverse (431300004), we get a palindrome (4431331344).

The spelling of 4000031340 in words is "four billion, thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 199 205 246 398 410 492 597 615 796 820 995 1194 1230 1990 2388 2460 2985 3980 5970 8159 8171 11940 16318 16342 24477 24513 32636 32684 40795 40855 48954 49026 81590 81710 97908 98052 122385 122565 163180 163420 244770 245130 335011 489540 490260 670022 1005033 1340044 1626029 1675055 2010066 3252058 3350110 4020132 4878087 5025165 6504116 6700220 8130145 9756174 10050330 16260290 19512348 20100660 24390435 32520580 48780870 66667189 97561740 133334378 200001567 266668756 333335945 400003134 666671890 800006268 1000007835 1333343780 2000015670 4000031340