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68431000 = 2353116221
BaseRepresentation
bin1000001010000…
…10110010011000
311202202122200111
410011002302120
5120004243000
610442414104
71460440201
oct405026230
9152678614
1068431000
113569a250
121ab01334
131123c621
1491345a8
15601acba
hex4142c98

68431000 has 64 divisors (see below), whose sum is σ = 174713760. Its totient is φ = 24880000.

The previous prime is 68430991. The next prime is 68431031. The reversal of 68431000 is 13486.

It is a super-2 number, since 2×684310002 = 9365603522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 7890 + ... + 14110.

Almost surely, 268431000 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 68431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87356880).

68431000 is an abundant number, since it is smaller than the sum of its proper divisors (106282760).

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

68431000 is a wasteful number, since it uses less digits than its factorization.

68431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 68431000 is about 8272.3031859332. The cubic root of 68431000 is about 409.0260443360.

Adding to 68431000 its reverse (13486), we get a palindrome (68444486).

It can be divided in two parts, 684 and 31000, that added together give a square (31684 = 1782).

The spelling of 68431000 in words is "sixty-eight million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 6221 11000 12442 24884 31105 49768 62210 68431 124420 136862 155525 248840 273724 311050 342155 547448 622100 684310 777625 1244200 1368620 1555250 1710775 2737240 3110500 3421550 6221000 6843100 8553875 13686200 17107750 34215500 68431000