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3868704 = 2532719101
BaseRepresentation
bin1110110000100000100000
321021112212100
432300200200
51442244304
6214530400
744612010
oct16604040
97245770
103868704
112202684
121366a00
13a55b98
14729c40
15516439
hex3b0820

3868704 has 144 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1036800.

The previous prime is 3868699. The next prime is 3868717. The reversal of 3868704 is 4078683.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38254 + ... + 38354.

It is an arithmetic number, because the mean of its divisors is an integer number (92820).

Almost surely, 23868704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3868704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

3868704 is an abundant number, since it is smaller than the sum of its proper divisors (9497376).

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

3868704 is a wasteful number, since it uses less digits than its factorization.

3868704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3868704 is about 1966.9021327966. The cubic root of 3868704 is about 156.9839192693.

The spelling of 3868704 in words is "three million, eight hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 101 112 114 126 133 144 152 168 171 202 224 228 252 266 288 303 304 336 342 399 404 456 504 532 606 608 672 684 707 798 808 909 912 1008 1064 1197 1212 1368 1414 1596 1616 1818 1824 1919 2016 2121 2128 2394 2424 2736 2828 3192 3232 3636 3838 4242 4256 4788 4848 5472 5656 5757 6363 6384 7272 7676 8484 9576 9696 11312 11514 12726 12768 13433 14544 15352 16968 17271 19152 22624 23028 25452 26866 29088 30704 33936 34542 38304 40299 46056 50904 53732 61408 67872 69084 80598 92112 101808 107464 120897 138168 161196 184224 203616 214928 241794 276336 322392 429856 483588 552672 644784 967176 1289568 1934352 3868704