Search a number
-
+
3804480 = 263251321
BaseRepresentation
bin1110100000110101000000
321011021202200
432200311000
51433220410
6213313200
744223531
oct16406500
97137680
103804480
1121693a9
121335800
13a32894
14710688
155023c0
hex3a0d40

3804480 has 84 divisors (see below), whose sum is σ = 13095732. Its totient is φ = 1013760.

The previous prime is 3804473. The next prime is 3804491. The reversal of 3804480 is 844083.

3804480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 1218816 = 1608^2 + 1104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2220 + ... + 3540.

Almost surely, 23804480 is an apocalyptic number.

3804480 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 3804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547866).

3804480 is an abundant number, since it is smaller than the sum of its proper divisors (9291252).

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

3804480 is a wasteful number, since it uses less digits than its factorization.

3804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3804480 is about 1950.5076262348. The cubic root of 3804480 is about 156.1103755359.

The spelling of 3804480 in words is "three million, eight hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1321 1440 2642 2880 3963 5284 6605 7926 10568 11889 13210 15852 19815 21136 23778 26420 31704 39630 42272 47556 52840 59445 63408 79260 84544 95112 105680 118890 126816 158520 190224 211360 237780 253632 317040 380448 422720 475560 634080 760896 951120 1268160 1902240 3804480