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3845280 = 25358011
BaseRepresentation
bin1110101010110010100000
321020100201210
432222302200
51441022110
6214230120
744453505
oct16526240
97210653
103845280
11219701a
121355340
13a4831a
147214ac
1550e520
hex3aaca0

3845280 has 48 divisors (see below), whose sum is σ = 12114144. Its totient is φ = 1025280.

The previous prime is 3845279. The next prime is 3845287. The reversal of 3845280 is 825483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3845287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3526 + ... + 4485.

It is an arithmetic number, because the mean of its divisors is an integer number (252378).

Almost surely, 23845280 is an apocalyptic number.

3845280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3845280 is an abundant number, since it is smaller than the sum of its proper divisors (8268864).

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

3845280 is a wasteful number, since it uses less digits than its factorization.

3845280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8029 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3845280 is about 1960.9385507965. The cubic root of 3845280 is about 156.6664453495. Note that the first 3 decimals are identical.

The spelling of 3845280 in words is "three million, eight hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8011 16022 24033 32044 40055 48066 64088 80110 96132 120165 128176 160220 192264 240330 256352 320440 384528 480660 640880 769056 961320 1281760 1922640 3845280