Search a number
-
+
4040024310 = 233579532243
BaseRepresentation
bin1111000011001101…
…1110000011110110
3101102120000111111000
43300303132003312
531233221234220
61504515424130
7202054432350
oct36063360366
911376014430
104040024310
111793541073
12948bb5046
134c4cc633a
142a47b20d0
15189a2e390
hexf0cde0f6

4040024310 has 128 divisors (see below), whose sum is σ = 12330869760. Its totient is φ = 922053888.

The previous prime is 4040024309. The next prime is 4040024333. The reversal of 4040024310 is 134200404.

It is a super-2 number, since 2×40400243102 = 32643592850781952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1800049 + ... + 1802291.

It is an arithmetic number, because the mean of its divisors is an integer number (96334920).

Almost surely, 24040024310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040024310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165434880).

4040024310 is an abundant number, since it is smaller than the sum of its proper divisors (8290845450).

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

4040024310 is a wasteful number, since it uses less digits than its factorization.

4040024310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4040024310 is about 63561.1855616303. The cubic root of 4040024310 is about 1592.6780428998.

Adding to 4040024310 its reverse (134200404), we get a palindrome (4174224714).

The spelling of 4040024310 in words is "four billion, forty million, twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 953 1890 1906 2243 2859 4486 4765 5718 6671 6729 8577 9530 11215 13342 13458 14295 15701 17154 20013 20187 22430 25731 28590 31402 33355 33645 40026 40374 42885 47103 51462 60039 60561 66710 67290 78505 85770 94206 100065 100935 120078 121122 128655 141309 157010 180117 200130 201870 235515 257310 282618 300195 302805 360234 423927 471030 600390 605610 706545 847854 900585 1413090 1801170 2119635 2137579 4239270 4275158 6412737 10687895 12825474 14963053 19238211 21375790 29926106 32063685 38476422 44889159 57714633 64127370 74815265 89778318 96191055 115429266 134667477 149630530 192382110 224445795 269334954 288573165 404002431 448891590 577146330 673337385 808004862 1346674770 2020012155 4040024310