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68344200 = 23325243883
BaseRepresentation
bin1000001001011…
…01100110001000
311202121020121200
410010231212020
5114444003300
610440504200
71456626141
oct404554610
9152536550
1068344200
1135640011
121aa7b060
131120bc72
149110ac8
156000200
hex412d988

68344200 has 144 divisors (see below), whose sum is σ = 235126320. Its totient is φ = 17781120.

The previous prime is 68344183. The next prime is 68344207. The reversal of 68344200 is 244386.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (68344207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76959 + ... + 77841.

Almost surely, 268344200 is an apocalyptic number.

68344200 is a gapful number since it is divisible by the number (60) 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 68344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117563160).

68344200 is an abundant number, since it is smaller than the sum of its proper divisors (166782120).

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

68344200 is a wasteful number, since it uses less digits than its factorization.

68344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 68344200 is about 8267.0550984011. The cubic root of 68344200 is about 408.8530307288.

Adding to 68344200 its reverse (244386), we get a palindrome (68588586).

The spelling of 68344200 in words is "sixty-eight million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 43 45 50 60 72 75 86 90 100 120 129 150 172 180 200 215 225 258 300 344 360 387 430 450 516 600 645 774 860 883 900 1032 1075 1290 1548 1720 1766 1800 1935 2150 2580 2649 3096 3225 3532 3870 4300 4415 5160 5298 6450 7064 7740 7947 8600 8830 9675 10596 12900 13245 15480 15894 17660 19350 21192 22075 25800 26490 31788 35320 37969 38700 39735 44150 52980 63576 66225 75938 77400 79470 88300 105960 113907 132450 151876 158940 176600 189845 198675 227814 264900 303752 317880 341721 379690 397350 455628 529800 569535 683442 759380 794700 911256 949225 1139070 1366884 1518760 1589400 1708605 1898450 2278140 2733768 2847675 3417210 3796900 4556280 5695350 6834420 7593800 8543025 11390700 13668840 17086050 22781400 34172100 68344200