Search a number
-
+
1343040240 = 2435127139317
BaseRepresentation
bin101000000001101…
…0010101011110000
310110121011111212010
41100003102223300
510222304241430
6341134002520
745165440133
oct12003225360
93417144763
101343040240
1162a125013
12315946440
13185327589
14ca52621a
157cd92cb0
hex500d2af0

1343040240 has 160 divisors (see below), whose sum is σ = 4239728640. Its totient is φ = 351654912.

The previous prime is 1343040229. The next prime is 1343040263. The reversal of 1343040240 is 420403431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4236562 + ... + 4236878.

It is an arithmetic number, because the mean of its divisors is an integer number (26498304).

Almost surely, 21343040240 is an apocalyptic number.

1343040240 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 1343040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119864320).

1343040240 is an abundant number, since it is smaller than the sum of its proper divisors (2896688400).

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

1343040240 is a wasteful number, since it uses less digits than its factorization.

1343040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

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

The square root of 1343040240 is about 36647.5134217862. The cubic root of 1343040240 is about 1103.3069190035.

Adding to 1343040240 its reverse (420403431), we get a palindrome (1763443671).

The spelling of 1343040240 in words is "one billion, three hundred forty-three million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 139 240 254 278 317 381 417 508 556 634 635 695 762 834 951 1016 1112 1268 1270 1390 1524 1585 1668 1902 1905 2032 2085 2224 2536 2540 2780 3048 3170 3336 3804 3810 4170 4755 5072 5080 5560 6096 6340 6672 7608 7620 8340 9510 10160 11120 12680 15216 15240 16680 17653 19020 25360 30480 33360 35306 38040 40259 44063 52959 70612 76080 80518 88126 88265 105918 120777 132189 141224 161036 176252 176530 201295 211836 220315 241554 264378 264795 282448 322072 352504 353060 402590 423672 440630 483108 528756 529590 603885 644144 660945 705008 706120 805180 847344 881260 966216 1057512 1059180 1207770 1321890 1412240 1610360 1762520 1932432 2115024 2118360 2415540 2643780 3220720 3525040 4236720 4831080 5287560 5596001 9662160 10575120 11192002 16788003 22384004 27980005 33576006 44768008 55960010 67152012 83940015 89536016 111920020 134304024 167880030 223840040 268608048 335760060 447680080 671520120 1343040240