Search a number
-
+
1073689344 = 2834713569
BaseRepresentation
bin111111111111110…
…011001100000000
32202211100001220000
4333333303030000
54144331024334
6254312520000
735415131430
oct7777631400
92684301800
101073689344
11501084772
1225b6b0000
1314159b050
14a28502c0
15643da299
hex3fff3300

1073689344 has 360 divisors, whose sum is σ = 3947291040. Its totient is φ = 282673152.

The previous prime is 1073689339. The next prime is 1073689363. The reversal of 1073689344 is 4439863701.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1073689344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886692 + ... + 1887260.

Almost surely, 21073689344 is an apocalyptic number.

1073689344 is a gapful number since it is divisible by the number (14) 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 1073689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973645520).

1073689344 is an abundant number, since it is smaller than the sum of its proper divisors (2873601696).

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

1073689344 is an equidigital number, since it uses as much as digits as its factorization.

1073689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1073689344 is about 32767.1992089651. The cubic root of 1073689344 is about 1023.9833167855.

The spelling of 1073689344 in words is "one billion, seventy-three million, six hundred eighty-nine thousand, three hundred forty-four".