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3841020 = 223452371
BaseRepresentation
bin1110101001101111111100
321020010220000
432221233330
51440403040
6214154300
744435211
oct16515774
97203800
103841020
1121938a7
121352990
13a463c1
1471db08
1550d130
hex3a9bfc

3841020 has 60 divisors (see below), whose sum is σ = 12054504. Its totient is φ = 1023840.

The previous prime is 3841009. The next prime is 3841027. The reversal of 3841020 is 201483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3840984 and 3841002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3841027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 435 + ... + 2805.

Almost surely, 23841020 is an apocalyptic number.

3841020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3841020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027252).

3841020 is an abundant number, since it is smaller than the sum of its proper divisors (8213484).

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

3841020 is a wasteful number, since it uses less digits than its factorization.

3841020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3841020 is about 1959.8520352312. The cubic root of 3841020 is about 156.6085695755.

The spelling of 3841020 in words is "three million, eight hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2371 4742 7113 9484 11855 14226 21339 23710 28452 35565 42678 47420 64017 71130 85356 106695 128034 142260 192051 213390 256068 320085 384102 426780 640170 768204 960255 1280340 1920510 3841020