Search a number
-
+
1240314340 = 2252931101683
BaseRepresentation
bin100100111101101…
…1011000111100100
310012102212111102011
41021323123013210
510020010024330
6323024124004
742510332536
oct11173330744
93172774364
101240314340
11587141581
122a7466604
13169c6b115
14baa25856
1573d5082a
hex49edb1e4

1240314340 has 96 divisors (see below), whose sum is σ = 2813045760. Its totient is φ = 458304000.

The previous prime is 1240314323. The next prime is 1240314359. The reversal of 1240314340 is 434130421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815639 + ... + 1816321.

It is an arithmetic number, because the mean of its divisors is an integer number (29302560).

Almost surely, 21240314340 is an apocalyptic number.

1240314340 is a gapful number since it is divisible by the number (10) 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 1240314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

1240314340 is an abundant number, since it is smaller than the sum of its proper divisors (1572731420).

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

1240314340 is a wasteful number, since it uses less digits than its factorization.

1240314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1240314340 is about 35218.0967685649. The cubic root of 1240314340 is about 1074.4278448015.

Adding to 1240314340 its reverse (434130421), we get a palindrome (1674444761).

The spelling of 1240314340 in words is "one billion, two hundred forty million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 101 116 124 145 155 202 290 310 404 505 580 620 683 899 1010 1366 1798 2020 2732 2929 3131 3415 3596 4495 5858 6262 6830 8990 11716 12524 13660 14645 15655 17980 19807 21173 29290 31310 39614 42346 58580 62620 68983 79228 84692 90799 99035 105865 137966 181598 198070 211730 275932 344915 363196 396140 423460 453995 614017 689830 907990 1228034 1379660 1815980 2000507 2138473 2456068 3070085 4001014 4276946 6140170 8002028 8553892 10002535 10692365 12280340 20005070 21384730 40010140 42769460 62015717 124031434 248062868 310078585 620157170 1240314340