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1340005440 = 26351395839
BaseRepresentation
bin100111111011110…
…1101110001000000
310110101110022220010
41033313231301000
510221020133230
6340544544520
745130600254
oct11767556100
93411408803
101340005440
11628441a14
12314922140
13184804137
14c9d76264
157c9939b0
hex4fdedc40

1340005440 has 56 divisors (see below), whose sum is σ = 4254520320. Its totient is φ = 357334528.

The previous prime is 1340005423. The next prime is 1340005441. The reversal of 1340005440 is 445000431.

It is a super-2 number, since 2×13400054402 = 3591229158459187200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1340005441) 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 7 ways as a sum of consecutive naturals, for example, 696960 + ... + 698879.

Almost surely, 21340005440 is an apocalyptic number.

1340005440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340005440 is an abundant number, since it is smaller than the sum of its proper divisors (2914514880).

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

1340005440 is a wasteful number, since it uses less digits than its factorization.

1340005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395859 (or 1395849 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1340005440 is about 36606.0847401084. The cubic root of 1340005440 is about 1102.4752633525.

Adding to 1340005440 its reverse (445000431), we get a palindrome (1785005871).

The spelling of 1340005440 in words is "one billion, three hundred forty million, five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1395839 2791678 4187517 5583356 6979195 8375034 11166712 13958390 16750068 20937585 22333424 27916780 33500136 41875170 44666848 55833560 67000272 83750340 89333696 111667120 134000544 167500680 223334240 268001088 335001360 446668480 670002720 1340005440