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1349290680 = 233517661417
BaseRepresentation
bin101000001101100…
…1000101010111000
310111000221001211220
41100123020222320
510230404300210
6341515552040
745302532033
oct12033105270
93430831756
101349290680
11632704071
12317a5b620
1318670556a
14cb2b201a
157d6c9c70
hex506c8ab8

1349290680 has 64 divisors (see below), whose sum is σ = 4285988640. Its totient is φ = 338644992.

The previous prime is 1349290673. The next prime is 1349290687. The reversal of 1349290680 is 860929431.

It is an interprime number because it is at equal distance from previous prime (1349290673) and next prime (1349290687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349290687) 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 15 ways as a sum of consecutive naturals, for example, 328669 + ... + 332748.

Almost surely, 21349290680 is an apocalyptic number.

1349290680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349290680 is an abundant number, since it is smaller than the sum of its proper divisors (2936697960).

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

1349290680 is a wasteful number, since it uses less digits than its factorization.

1349290680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661448 (or 661444 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1349290680 is about 36732.6922509091. The cubic root of 1349290680 is about 1105.0158484790.

The spelling of 1349290680 in words is "one billion, three hundred forty-nine million, two hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 661417 1322834 1984251 2645668 3307085 3968502 5291336 6614170 7937004 9921255 11244089 13228340 15874008 19842510 22488178 26456680 33732267 39685020 44976356 56220445 67464534 79370040 89952712 112440890 134929068 168661335 224881780 269858136 337322670 449763560 674645340 1349290680