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3682305 = 3251143173
BaseRepresentation
bin1110000011000000000001
320221002011200
432003000001
51420313210
6210531413
743204404
oct16030001
96832150
103682305
112095630
121296b69
139bc0a3
146bbd3b
154cb0c0
hex383001

3682305 has 48 divisors (see below), whose sum is σ = 7166016. Its totient is φ = 1733760.

The previous prime is 3682303. The next prime is 3682321. The reversal of 3682305 is 5032863.

It is not a de Polignac number, because 3682305 - 21 = 3682303 is a prime.

It is a super-2 number, since 2×36823052 = 27118740226050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21199 + ... + 21371.

It is an arithmetic number, because the mean of its divisors is an integer number (149292).

It is a Proth number, since it is equal to 899 ⋅ 212 + 1 and 899 < 212.

Almost surely, 23682305 is an apocalyptic number.

It is an amenable number.

3682305 is a deficient number, since it is larger than the sum of its proper divisors (3483711).

3682305 is a wasteful number, since it uses less digits than its factorization.

3682305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3682305 is about 1918.9332974338. The cubic root of 3682305 is about 154.4210801263.

The spelling of 3682305 in words is "three million, six hundred eighty-two thousand, three hundred five".

Divisors: 1 3 5 9 11 15 33 43 45 55 99 129 165 173 215 387 473 495 519 645 865 1419 1557 1903 1935 2365 2595 4257 5709 7095 7439 7785 9515 17127 21285 22317 28545 37195 66951 81829 85635 111585 245487 334755 409145 736461 1227435 3682305