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1341330672 = 2431123310903
BaseRepresentation
bin100111111110011…
…0001010011110000
310110110221122202210
41033330301103300
510221340040142
6341033212120
745145060023
oct11774612360
93413848683
101341330672
11629167650
12315261040
13184b793b6
14ca1dd1ba
157cb5649c
hex4ff314f0

1341330672 has 80 divisors (see below), whose sum is σ = 3796685568. Its totient is φ = 404682240.

The previous prime is 1341330637. The next prime is 1341330677. The reversal of 1341330672 is 2760331431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341330677) 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 15 ways as a sum of consecutive naturals, for example, 117573 + ... + 128475.

Almost surely, 21341330672 is an apocalyptic number.

1341330672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341330672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898342784).

1341330672 is an abundant number, since it is smaller than the sum of its proper divisors (2455354896).

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

1341330672 is a wasteful number, since it uses less digits than its factorization.

1341330672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11158 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 1341330672 is about 36624.1815198647. The cubic root of 1341330672 is about 1102.8385837980.

The spelling of 1341330672 in words is "one billion, three hundred forty-one million, three hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 233 264 466 528 699 932 1398 1864 2563 2796 3728 5126 5592 7689 10252 10903 11184 15378 20504 21806 30756 32709 41008 43612 61512 65418 87224 119933 123024 130836 174448 239866 261672 359799 479732 523344 719598 959464 1439196 1918928 2540399 2878392 5080798 5756784 7621197 10161596 15242394 20323192 27944389 30484788 40646384 55888778 60969576 83833167 111777556 121939152 167666334 223555112 335332668 447110224 670665336 1341330672