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3730441 = 1113191373
BaseRepresentation
bin1110001110110000001001
321000112012111
432032300021
51423333231
6211542321
743464631
oct16166011
97015174
103730441
112118810
1212ba9a1
13a07c80
146d16c1
154da4b1
hex38ec09

3730441 has 16 divisors (see below), whose sum is σ = 4616640. Its totient is φ = 2963520.

The previous prime is 3730427. The next prime is 3730453. The reversal of 3730441 is 1440373.

3730441 = T35 + T36 + ... + T281.

It is a happy number.

It is a 3-Lehmer number, since φ(3730441) divides (3730441-1)3.

It is a cyclic number.

It is not a de Polignac number, because 3730441 - 27 = 3730313 is a prime.

It is a Duffinian number.

3730441 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730471) 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, 2031 + ... + 3403.

It is an arithmetic number, because the mean of its divisors is an integer number (288540).

Almost surely, 23730441 is an apocalyptic number.

It is an amenable number.

3730441 is a deficient number, since it is larger than the sum of its proper divisors (886199).

3730441 is a wasteful number, since it uses less digits than its factorization.

3730441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416.

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3730441 is about 1931.4349587806. The cubic root of 3730441 is about 155.0910460587.

The spelling of 3730441 in words is "three million, seven hundred thirty thousand, four hundred forty-one".

Divisors: 1 11 13 19 143 209 247 1373 2717 15103 17849 26087 196339 286957 339131 3730441