Search a number
-
+
1340240000 = 2754111523
BaseRepresentation
bin100111111100010…
…0111000010000000
310110101220020122112
41033320213002000
510221100140000
6340553554452
745132565151
oct11770470200
93411806575
101340240000
11628592170
12314a15a28
13184886b28
14c9dd7928
157c9dd235
hex4fe27080

1340240000 has 160 divisors (see below), whose sum is σ = 3642146640. Its totient is φ = 487040000.

The previous prime is 1340239997. The next prime is 1340240009. The reversal of 1340240000 is 420431.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1340240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879239 + ... + 880761.

Almost surely, 21340240000 is an apocalyptic number.

1340240000 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 1340240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821073320).

1340240000 is an abundant number, since it is smaller than the sum of its proper divisors (2301906640).

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

1340240000 is an equidigital number, since it uses as much as digits as its factorization.

1340240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1340240000 is about 36609.2884388648. The cubic root of 1340240000 is about 1102.5395868503.

Adding to 1340240000 its reverse (420431), we get a palindrome (1340660431).

The spelling of 1340240000 in words is "one billion, three hundred forty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1523 1600 1760 2000 2200 2500 2750 3046 3200 3520 4000 4400 5000 5500 6092 6875 7040 7615 8000 8800 10000 11000 12184 13750 15230 16000 16753 17600 20000 22000 24368 27500 30460 33506 35200 38075 40000 44000 48736 55000 60920 67012 76150 80000 83765 88000 97472 110000 121840 134024 152300 167530 176000 190375 194944 220000 243680 268048 304600 335060 380750 418825 440000 487360 536096 609200 670120 761500 837650 880000 951875 974720 1072192 1218400 1340240 1523000 1675300 1903750 2094125 2144384 2436800 2680480 3046000 3350600 3807500 4188250 4873600 5360960 6092000 6701200 7615000 8376500 10470625 10721920 12184000 13402400 15230000 16753000 20941250 24368000 26804800 30460000 33506000 41882500 53609600 60920000 67012000 83765000 121840000 134024000 167530000 268048000 335060000 670120000 1340240000