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3097200 = 243522989
BaseRepresentation
bin1011110100001001110000
312211100120010
423310021300
51243102300
6150214520
735216511
oct13641160
95740503
103097200
111825a77
121054440
13845982
145a8a08
15412a50
hex2f4270

3097200 has 120 divisors (see below), whose sum is σ = 10378800. Its totient is φ = 788480.

The previous prime is 3097187. The next prime is 3097207. The reversal of 3097200 is 27903.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3097207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34756 + ... + 34844.

It is an arithmetic number, because the mean of its divisors is an integer number (86490).

Almost surely, 23097200 is an apocalyptic number.

3097200 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 3097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189400).

3097200 is an abundant number, since it is smaller than the sum of its proper divisors (7281600).

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

3097200 is a wasteful number, since it uses less digits than its factorization.

3097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 3097200 is about 1759.8863599676. The cubic root of 3097200 is about 145.7660605819.

The spelling of 3097200 in words is "three million, ninety-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 89 100 116 120 145 150 174 178 200 232 240 267 290 300 348 356 400 435 445 464 534 580 600 696 712 725 870 890 1068 1160 1200 1335 1392 1424 1450 1740 1780 2136 2175 2225 2320 2581 2670 2900 3480 3560 4272 4350 4450 5162 5340 5800 6675 6960 7120 7743 8700 8900 10324 10680 11600 12905 13350 15486 17400 17800 20648 21360 25810 26700 30972 34800 35600 38715 41296 51620 53400 61944 64525 77430 103240 106800 123888 129050 154860 193575 206480 258100 309720 387150 516200 619440 774300 1032400 1548600 3097200