Search a number
-
+
1730381312 = 29112173153
BaseRepresentation
bin110011100100011…
…1000011000000000
311110121000110220202
41213020320120000
512020434200222
6443412024332
760610666322
oct14710703000
94417013822
101730381312
11808834100
124036020a8
13217655c8a
14125b53612
15a1da5892
hex67238600

1730381312 has 240 divisors, whose sum is σ = 4231979136. Its totient is φ = 702873600.

The previous prime is 1730381311. The next prime is 1730381321. The reversal of 1730381312 is 2131830371.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1730381311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32648678 + ... + 32648730.

Almost surely, 21730381312 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 1730381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115989568).

1730381312 is an abundant number, since it is smaller than the sum of its proper divisors (2501597824).

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

1730381312 is a wasteful number, since it uses less digits than its factorization.

1730381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 1730381312 is about 41597.8522522498. The cubic root of 1730381312 is about 1200.5509766116.

The spelling of 1730381312 in words is "one billion, seven hundred thirty million, three hundred eighty-one thousand, three hundred twelve".