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3848640 = 263519211
BaseRepresentation
bin1110101011100111000000
321020112100020
432223213000
51441124030
6214253440
744466345
oct16534700
97215306
103848640
1121995a4
121357280
13a49a03
147227cc
15510510
hex3ab9c0

3848640 has 112 divisors (see below), whose sum is σ = 12923520. Its totient is φ = 967680.

The previous prime is 3848639. The next prime is 3848651. The reversal of 3848640 is 468483.

3848640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18135 + ... + 18345.

Almost surely, 23848640 is an apocalyptic number.

3848640 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 3848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461760).

3848640 is an abundant number, since it is smaller than the sum of its proper divisors (9074880).

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

3848640 is a wasteful number, since it uses less digits than its factorization.

3848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3848640 is about 1961.7950963340. The cubic root of 3848640 is about 156.7120637014.

The spelling of 3848640 in words is "three million, eight hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 211 228 240 285 304 320 380 422 456 480 570 608 633 760 844 912 960 1055 1140 1216 1266 1520 1688 1824 2110 2280 2532 3040 3165 3376 3648 4009 4220 4560 5064 6080 6330 6752 8018 8440 9120 10128 12027 12660 13504 16036 16880 18240 20045 20256 24054 25320 32072 33760 40090 40512 48108 50640 60135 64144 67520 80180 96216 101280 120270 128288 160360 192432 202560 240540 256576 320720 384864 481080 641440 769728 962160 1282880 1924320 3848640