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1306840440 = 233510890337
BaseRepresentation
bin100110111100100…
…1100110101111000
310101002001101001210
41031321030311320
510134022343230
6333402043120
744245650303
oct11571146570
93332041053
101306840440
1161074a624
123057a94a0
1317a991689
14c57c1b3a
1579ae1eb0
hex4de4cd78

1306840440 has 32 divisors (see below), whose sum is σ = 3920521680. Its totient is φ = 348490752.

The previous prime is 1306840421. The next prime is 1306840441. The reversal of 1306840440 is 440486031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1306840398 and 1306840407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306840441) 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, 5445049 + ... + 5445288.

Almost surely, 21306840440 is an apocalyptic number.

1306840440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306840440 is an abundant number, since it is smaller than the sum of its proper divisors (2613681240).

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

1306840440 is a wasteful number, since it uses less digits than its factorization.

1306840440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10890351 (or 10890347 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1306840440 is about 36150.2481319285. The cubic root of 1306840440 is about 1093.3037936530.

The spelling of 1306840440 in words is "one billion, three hundred six million, eight hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 10890337 21780674 32671011 43561348 54451685 65342022 87122696 108903370 130684044 163355055 217806740 261368088 326710110 435613480 653420220 1306840440