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1730664 = 233213432
BaseRepresentation
bin110100110100001101000
310020221000200
412212201220
5420340124
6101032200
720465445
oct6464150
93227020
101730664
11a82301
126b5660
13487980
143309cc
15242bc9
hex1a6868

1730664 has 72 divisors (see below), whose sum is σ = 5167890. Its totient is φ = 520128.

The previous prime is 1730657. The next prime is 1730671. The reversal of 1730664 is 4660371.

It is an interprime number because it is at equal distance from previous prime (1730657) and next prime (1730671).

It can be written as a sum of positive squares in only one way, i.e., 1664100 + 66564 = 1290^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40227 + ... + 40269.

21730664 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 1730664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583945).

1730664 is an abundant number, since it is smaller than the sum of its proper divisors (3437226).

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

1730664 is a wasteful number, since it uses less digits than its factorization.

1730664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1730664 is about 1315.5470345069. The cubic root of 1730664 is about 120.0616350040.

The spelling of 1730664 in words is "one million, seven hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 1849 2236 3096 3354 3698 4472 5031 5547 6708 7396 10062 11094 13416 14792 16641 20124 22188 24037 33282 40248 44376 48074 66564 72111 96148 133128 144222 192296 216333 288444 432666 576888 865332 1730664