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1344265040 = 24588119073
BaseRepresentation
bin101000000011111…
…1101101101010000
310110200110201222002
41100013331231100
510223112440130
6341220133132
745212031026
oct12007755520
93420421862
101344265040
1162a891248
123162371a8
13185665c01
14ca764716
157d035b45
hex501fdb50

1344265040 has 40 divisors (see below), whose sum is σ = 3129127848. Its totient is φ = 537067520.

The previous prime is 1344265009. The next prime is 1344265049. The reversal of 1344265040 is 405624431.

It can be written as a sum of positive squares in 4 ways, for example, as 48553024 + 1295712016 = 6968^2 + 35996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1344264994 and 1344265012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344265049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60944 + ... + 80016.

Almost surely, 21344265040 is an apocalyptic number.

1344265040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344265040 is an abundant number, since it is smaller than the sum of its proper divisors (1784862808).

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

1344265040 is a wasteful number, since it uses less digits than its factorization.

1344265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19967 (or 19961 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 1344265040 is about 36664.2201608053. The cubic root of 1344265040 is about 1103.6422079733.

Adding to 1344265040 its reverse (405624431), we get a palindrome (1749889471).

The spelling of 1344265040 in words is "one billion, three hundred forty-four million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 881 1762 3524 4405 7048 8810 14096 17620 19073 35240 38146 70480 76292 95365 152584 190730 305168 381460 762920 1525840 16803313 33606626 67213252 84016565 134426504 168033130 268853008 336066260 672132520 1344265040