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3820240 = 24517532
BaseRepresentation
bin1110100100101011010000
321012002101101
432210223100
51434221430
6213514144
744320504
oct16445320
97162341
103820240
11217a226
121342954
13a39ac8
14716304
15506dca
hex3a4ad0

3820240 has 60 divisors (see below), whose sum is σ = 9585324. Its totient is φ = 1411072.

The previous prime is 3820237. The next prime is 3820253. The reversal of 3820240 is 420283.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 345744 + 3474496 = 588^2 + 1864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72054 + ... + 72106.

Almost surely, 23820240 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 3820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792662).

3820240 is an abundant number, since it is smaller than the sum of its proper divisors (5765084).

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

3820240 is a wasteful number, since it uses less digits than its factorization.

3820240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3820240 is about 1954.5434249461. The cubic root of 3820240 is about 156.3256401769.

The spelling of 3820240 in words is "three million, eight hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 212 265 272 340 424 530 680 848 901 1060 1360 1802 2120 2809 3604 4240 4505 5618 7208 9010 11236 14045 14416 18020 22472 28090 36040 44944 47753 56180 72080 95506 112360 191012 224720 238765 382024 477530 764048 955060 1910120 3820240