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3027840 = 27351983
BaseRepresentation
bin1011100011001110000000
312200211102020
423203032000
51233342330
6144521440
734510344
oct13431600
95624366
103027840
111788952
121020280
1382022a
1458b624
153ec210
hex2e3380

3027840 has 128 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 755712.

The previous prime is 3027839. The next prime is 3027851. The reversal of 3027840 is 487203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3027840.

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, 36439 + ... + 36521.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

Almost surely, 23027840 is an apocalyptic number.

3027840 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 3027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

3027840 is an abundant number, since it is smaller than the sum of its proper divisors (7253760).

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

3027840 is a wasteful number, since it uses less digits than its factorization.

3027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3027840 is about 1740.0689641506. The cubic root of 3027840 is about 144.6697199221.

The spelling of 3027840 in words is "three million, twenty-seven thousand, eight 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 83 95 96 114 120 128 152 160 166 190 192 228 240 249 285 304 320 332 380 384 415 456 480 498 570 608 640 664 760 830 912 960 996 1140 1216 1245 1328 1520 1577 1660 1824 1920 1992 2280 2432 2490 2656 3040 3154 3320 3648 3984 4560 4731 4980 5312 6080 6308 6640 7296 7885 7968 9120 9462 9960 10624 12160 12616 13280 15770 15936 18240 18924 19920 23655 25232 26560 31540 31872 36480 37848 39840 47310 50464 53120 63080 75696 79680 94620 100928 126160 151392 159360 189240 201856 252320 302784 378480 504640 605568 756960 1009280 1513920 3027840