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3804000 = 25353317
BaseRepresentation
bin1110100000101101100000
321011021002220
432200231200
51433212000
6213311040
744222244
oct16405540
97137086
103804000
112169002
121335480
13a325b5
14710424
155021a0
hex3a0b60

3804000 has 96 divisors (see below), whose sum is σ = 12501216. Its totient is φ = 1011200.

The previous prime is 3803999. The next prime is 3804011. The reversal of 3804000 is 4083.

3804000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11842 + ... + 12158.

It is an arithmetic number, because the mean of its divisors is an integer number (130221).

Almost surely, 23804000 is an apocalyptic number.

3804000 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 3804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250608).

3804000 is an abundant number, since it is smaller than the sum of its proper divisors (8697216).

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

3804000 is a wasteful number, since it uses less digits than its factorization.

3804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3804000 is about 1950.3845774616. The cubic root of 3804000 is about 156.1038099315.

Adding to 3804000 its reverse (4083), we get a palindrome (3808083).

The spelling of 3804000 in words is "three million, eight hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 317 375 400 480 500 600 634 750 800 951 1000 1200 1268 1500 1585 1902 2000 2400 2536 3000 3170 3804 4000 4755 5072 6000 6340 7608 7925 9510 10144 12000 12680 15216 15850 19020 23775 25360 30432 31700 38040 39625 47550 50720 63400 76080 79250 95100 118875 126800 152160 158500 190200 237750 253600 317000 380400 475500 634000 760800 951000 1268000 1902000 3804000