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1340414310 = 235834311249
BaseRepresentation
bin100111111100101…
…0001100101100110
310110102020002202110
41033321101211212
510221121224220
6341001421450
745134222304
oct11771214546
93412202673
101340414310
116286a1124
12314a9a886
13184918281
14ca041274
157ca24be0
hex4fe51966

1340414310 has 64 divisors (see below), whose sum is σ = 3265920000. Its totient is φ = 352035840.

The previous prime is 1340414303. The next prime is 1340414321. The reversal of 1340414310 is 134140431.

It is a super-2 number, since 2×13404143102 = 3593421044905552200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1072566 + ... + 1073814.

It is an arithmetic number, because the mean of its divisors is an integer number (51030000).

Almost surely, 21340414310 is an apocalyptic number.

1340414310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1340414310 is an abundant number, since it is smaller than the sum of its proper divisors (1925505690).

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

1340414310 is a wasteful number, since it uses less digits than its factorization.

1340414310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1340414310 is about 36611.6690414409. The cubic root of 1340414310 is about 1102.5873831017.

Adding to 1340414310 its reverse (134140431), we get a palindrome (1474554741).

The spelling of 1340414310 in words is "one billion, three hundred forty million, four hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 431 498 830 862 1245 1249 1293 2155 2490 2498 2586 3747 4310 6245 6465 7494 12490 12930 18735 35773 37470 71546 103667 107319 178865 207334 214638 311001 357730 518335 536595 538319 622002 1036670 1073190 1076638 1555005 1614957 2691595 3110010 3229914 5383190 8074785 16149570 44680477 89360954 134041431 223402385 268082862 446804770 670207155 1340414310