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3845468 = 2211175397
BaseRepresentation
bin1110101010110101011100
321020100222202
432222311130
51441023333
6214231032
744454164
oct16526534
97210882
103845468
112197180
121355478
13a48433
147215a4
1550e5e8
hex3aad5c

3845468 has 48 divisors (see below), whose sum is σ = 8001504. Its totient is φ = 1597440.

The previous prime is 3845461. The next prime is 3845477. The reversal of 3845468 is 8645483.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 33 + 8 + 4 + 55 + 48 + 68 + 87 .

Its product of digits (92160) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39596 + ... + 39692.

It is an arithmetic number, because the mean of its divisors is an integer number (166698).

Almost surely, 23845468 is an apocalyptic number.

It is an amenable number.

3845468 is an abundant number, since it is smaller than the sum of its proper divisors (4156036).

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

3845468 is a wasteful number, since it uses less digits than its factorization.

3845468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 3845468 is about 1960.9864864399. The cubic root of 3845468 is about 156.6689985066.

The spelling of 3845468 in words is "three million, eight hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 17 22 34 44 53 68 97 106 187 194 212 374 388 583 748 901 1067 1166 1649 1802 2134 2332 3298 3604 4268 5141 6596 9911 10282 18139 19822 20564 36278 39644 56551 72556 87397 113102 174794 226204 349588 961367 1922734 3845468