Base | Representation |
---|---|
bin | 110011100011110… |
… | …0110100000000000 |
3 | 11110120101102220000 |
4 | 1213013212200000 |
5 | 12020342432302 |
6 | 443400520000 |
7 | 60605101515 |
oct | 14707464000 |
9 | 4416342800 |
10 | 1730045952 |
11 | 808625148 |
12 | 403480000 |
13 | 21756943b |
14 | 125aa730c |
15 | a1d3b31c |
hex | 671e6800 |
1730045952 has 120 divisors (see below), whose sum is σ = 5168012850. Its totient is φ = 576626688.
The previous prime is 1730045951. The next prime is 1730045971. The reversal of 1730045952 is 2595400371.
It can be written as a sum of positive squares in only one way, i.e., 949625856 + 780420096 = 30816^2 + 27936^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1730045951) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 160674 + ... + 171102.
Almost surely, 21730045952 is an apocalyptic number.
1730045952 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 1730045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584006425).
1730045952 is an abundant number, since it is smaller than the sum of its proper divisors (3437966898).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1730045952 is an equidigital number, since it uses as much as digits as its factorization.
1730045952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10463 (or 10434 counting only the distinct ones).
The product of its (nonzero) digits is 37800, while the sum is 36.
The square root of 1730045952 is about 41593.8210795786. The cubic root of 1730045952 is about 1200.4734132087.
The spelling of 1730045952 in words is "one billion, seven hundred thirty million, forty-five thousand, nine hundred fifty-two".
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