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1730768 = 241353157
BaseRepresentation
bin110100110100011010000
310020221011112
412212203100
5420341033
6101032452
720465654
oct6464320
93227145
101730768
11a82396
126b5728
13487a30
14330a64
15242c48
hex1a68d0

1730768 has 40 divisors (see below), whose sum is σ = 3702888. Its totient is φ = 778752.

The previous prime is 1730741. The next prime is 1730779. The reversal of 1730768 is 8670371.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 1658944 = 268^2 + 1288^2 .

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, 10946 + ... + 11102.

21730768 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 1730768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851444).

1730768 is an abundant number, since it is smaller than the sum of its proper divisors (1972120).

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

1730768 is a wasteful number, since it uses less digits than its factorization.

1730768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 1730768 is about 1315.5865611962. The cubic root of 1730768 is about 120.0640398921.

The spelling of 1730768 in words is "one million, seven hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 157 208 212 314 424 628 689 848 1256 1378 2041 2512 2756 4082 5512 8164 8321 11024 16328 16642 32656 33284 66568 108173 133136 216346 432692 865384 1730768