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1344700768 = 25293739163
BaseRepresentation
bin101000000100110…
…1000000101100000
310110201021212200011
41100021220011200
510223220411033
6341233334304
745215524255
oct12011500540
93421255604
101344700768
11630059654
12316407394
13185789338
14ca83942c
157d0beccd
hex50268160

1344700768 has 48 divisors (see below), whose sum is σ = 2812758480. Its totient is φ = 631604736.

The previous prime is 1344700729. The next prime is 1344700771. The reversal of 1344700768 is 8670074431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344700768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14755 + ... + 53917.

It is an arithmetic number, because the mean of its divisors is an integer number (58599135).

Almost surely, 21344700768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344700768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406379240).

1344700768 is an abundant number, since it is smaller than the sum of its proper divisors (1468057712).

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

1344700768 is a wasteful number, since it uses less digits than its factorization.

1344700768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39239 (or 39231 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 1344700768 is about 36670.1618212955. The cubic root of 1344700768 is about 1103.7614393870.

The spelling of 1344700768 in words is "one billion, three hundred forty-four million, seven hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 37 58 74 116 148 232 296 464 592 928 1073 1184 2146 4292 8584 17168 34336 39163 78326 156652 313304 626608 1135727 1253216 1449031 2271454 2898062 4542908 5796124 9085816 11592248 18171632 23184496 36343264 42021899 46368992 84043798 168087596 336175192 672350384 1344700768