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3690241 = 1721132
BaseRepresentation
bin1110000100111100000001
320221111001121
432010330001
51421041431
6211032241
743236502
oct16047401
96844047
103690241
1120a0595
12129b681
139c2899
146c0ba9
154cd611
hex384f01

3690241 has 9 divisors (see below), whose sum is σ = 3955081. Its totient is φ = 3442432.

The previous prime is 3690233. The next prime is 3690251. The reversal of 3690241 is 1420963.

The square root of 3690241 is 1921.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 450241 + 3240000 = 671^2 + 1800^2 .

It is not a de Polignac number, because 3690241 - 23 = 3690233 is a prime.

It is a Duffinian number.

3690241 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3690251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32601 + ... + 32713.

Almost surely, 23690241 is an apocalyptic number.

3690241 is the 1921-st square number.

3690241 is the 961-st centered octagonal number.

It is an amenable number.

3690241 is a deficient number, since it is larger than the sum of its proper divisors (264840).

3690241 is an equidigital number, since it uses as much as digits as its factorization.

3690241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The cubic root of 3690241 is about 154.5319351810.

Multiplying 3690241 by its sum of digits (25), we get a square (92256025 = 96052).

Multiplying 3690241 by its product of nonzero digits (1296), we get a square (4782552336 = 691562).

The spelling of 3690241 in words is "three million, six hundred ninety thousand, two hundred forty-one".

Divisors: 1 17 113 289 1921 12769 32657 217073 3690241