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3872320 = 26512101
BaseRepresentation
bin1110110001011001000000
321021201211021
432301121000
51442403240
6214555224
744625364
oct16613100
97251737
103872320
112205371
121368b14
13a5771a
1472b2a4
1551754a
hex3b1640

3872320 has 28 divisors (see below), whose sum is σ = 9221724. Its totient is φ = 1548800.

The previous prime is 3872317. The next prime is 3872329. The reversal of 3872320 is 232783.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 802816 = 1752^2 + 896^2 .

It is not an unprimeable number, because it can be changed into a prime (3872329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5731 + ... + 6370.

Almost surely, 23872320 is an apocalyptic number.

It is an amenable number.

3872320 is an abundant number, since it is smaller than the sum of its proper divisors (5349404).

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

3872320 is a wasteful number, since it uses less digits than its factorization.

3872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12118 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3872320 is about 1967.8211300827. The cubic root of 3872320 is about 157.0328139453.

The spelling of 3872320 in words is "three million, eight hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 12101 24202 48404 60505 96808 121010 193616 242020 387232 484040 774464 968080 1936160 3872320