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1340332240 = 24513299137
BaseRepresentation
bin100111111100011…
…1101100011010000
310110102001221011211
41033320331203100
510221111112430
6340555545504
745133431112
oct11770754320
93412057154
101340332240
116286454a5
12314a5b294
131848b9b00
14ca01d3b2
157ca0a72a
hex4fe3d8d0

1340332240 has 60 divisors (see below), whose sum is σ = 3374459244. Its totient is φ = 494886912.

The previous prime is 1340332193. The next prime is 1340332247. The reversal of 1340332240 is 422330431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 626801296 + 713530944 = 25036^2 + 26712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340332247) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 36049 + ... + 63088.

Almost surely, 21340332240 is an apocalyptic number.

1340332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340332240 is an abundant number, since it is smaller than the sum of its proper divisors (2034127004).

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

1340332240 is a wasteful number, since it uses less digits than its factorization.

1340332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99176 (or 99157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1340332240 is about 36610.5482067669. The cubic root of 1340332240 is about 1102.5648798123.

Adding to 1340332240 its reverse (422330431), we get a palindrome (1762662671).

The spelling of 1340332240 in words is "one billion, three hundred forty million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 99137 198274 396548 495685 793096 991370 1288781 1586192 1982740 2577562 3965480 5155124 6443905 7930960 10310248 12887810 16754153 20620496 25775620 33508306 51551240 67016612 83770765 103102480 134033224 167541530 268066448 335083060 670166120 1340332240