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3848040 = 233357509
BaseRepresentation
bin1110101011011101101000
321020111112000
432223131220
51441114130
6214251000
744464530
oct16533550
97214460
103848040
1121990a9
121356a60
13a49661
147224c0
15510260
hex3ab768

3848040 has 128 divisors (see below), whose sum is σ = 14688000. Its totient is φ = 877824.

The previous prime is 3848029. The next prime is 3848057. The reversal of 3848040 is 408483.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3847995 and 3848013.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7306 + ... + 7814.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

Almost surely, 23848040 is an apocalyptic number.

3848040 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 3848040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344000).

3848040 is an abundant number, since it is smaller than the sum of its proper divisors (10839960).

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

3848040 is a wasteful number, since it uses less digits than its factorization.

3848040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

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

The square root of 3848040 is about 1961.6421692042. The cubic root of 3848040 is about 156.7039195150.

The spelling of 3848040 in words is "three million, eight hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 509 540 630 756 840 945 1018 1080 1260 1512 1527 1890 2036 2520 2545 3054 3563 3780 4072 4581 5090 6108 7126 7560 7635 9162 10180 10689 12216 13743 14252 15270 17815 18324 20360 21378 22905 27486 28504 30540 32067 35630 36648 42756 45810 53445 54972 61080 64134 68715 71260 85512 91620 96201 106890 109944 128268 137430 142520 160335 183240 192402 213780 256536 274860 320670 384804 427560 481005 549720 641340 769608 962010 1282680 1924020 3848040