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1730064 = 243719271
BaseRepresentation
bin110100110011000010000
310020220012110
412212120100
5420330224
6101025320
720463630
oct6463020
93226173
101730064
11a81906
126b5240
1348760b
143306c0
15242929
hex1a6610

1730064 has 80 divisors (see below), whose sum is σ = 5396480. Its totient is φ = 466560.

The previous prime is 1730063. The next prime is 1730081. The reversal of 1730064 is 4600371.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1730064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1730063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6249 + ... + 6519.

It is an arithmetic number, because the mean of its divisors is an integer number (67456).

21730064 is an apocalyptic number.

1730064 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 1730064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698240).

1730064 is an abundant number, since it is smaller than the sum of its proper divisors (3666416).

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

1730064 is a wasteful number, since it uses less digits than its factorization.

1730064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1730064 is about 1315.3189727211. The cubic root of 1730064 is about 120.0477587678.

The spelling of 1730064 in words is "one million, seven hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 271 304 336 399 456 532 542 798 813 912 1064 1084 1596 1626 1897 2128 2168 3192 3252 3794 4336 5149 5691 6384 6504 7588 10298 11382 13008 15176 15447 20596 22764 30352 30894 36043 41192 45528 61788 72086 82384 91056 108129 123576 144172 216258 247152 288344 432516 576688 865032 1730064